second is that she has suffered from not being one. One might include a third point, that Daisy is saying she wishes to spare her daughter the suffering she herself has experienced through not being a fool. This leads the reader to doubt her sincerity, since there is no evidence that Daisy thinks or cares much about her daughter at all.

Daisy's view that she is not a beautiful little fool but a woman of depth and complexity is shown to be false by her shallow, selfish conduct—by what Nick calls the "vast carelessness" that she shares with Tom. This same quality of carelessness prevents Daisy from suffering and makes her Tom's soulmate (if either of them has a soul) rather than Gatsby's. Ironically, Daisy demonstrates the truth of her own observation. She herself is too foolish and shallow to be hurt, and therefore, she has the gift she coverts for her daughter, without possessing enough intelligence or self-knowledge to be aware that she has it.

This quote provides great insight into Daisy's character. She utters these words through tears just after her daughter is born. Daisy realizes that her daughter will face incredible challenges in the American 1920s. The overwhelming majority of women did not work outside the home; if her husband worked, a wife's employment was perceived as taking jobs from men who were presumed to need them more. Women often married quite young, and divorce was deeply frowned upon.

In this context, Daisy's choice to continue in a marriage with her cheating husband is more understandable. Society sided with men, and a wife was frequently expected to turn a blind eye to the indiscretions of her husband. Additionally, Tom could provide a lavish lifestyle for Daisy, and through him, she was able to maintain access to the privileges she had become accustomed to.

Like any mother, Daisy had dreams for her infant daughter. Yet in this society, she also realized that her daughter's happiness would come with a price. Daisy effectively hopes that little Pammy will be beautiful and vapid, never questioning the male-dominated society that they are both forced to conform to.

This statement proves that Daisy doesn't have a spirit of perseverance or strength. Instead, she believes that submitting to society's norms, no matter how misconstrued, is an easier and preferable path.

This quote is taken from chapter one when Daisy is telling Nick about the birth of her daughter.

Through this quote, Daisy makes an important point about 1920s American society. Specifically, she notes how society views women and their role in the world. Daisy hopes her daughter will be "beautiful," implying that society only values women who are physically attractive. Moreover, by hoping that her daughter is a "fool," Daisy also acknowledges that her society does not care about the intellectual capabilities of women. In fact, her society prefers women to be intellectually inferior.

Daisy understands that her society is a patriarchal one in which there is no place for a woman who is both self-aware and intelligent. This suggests that Daisy has direct experience with the sexist treatment of women, experience which has contributed to her character and view of the world. 

Finally, it is also worth noting that Daisy does not challenge this sexism. In fact, she accepts the world for what it is and hopes that her daughter will come to understand these aspects of society. In her opinion, this realization is the "best" way, and this gives Daisy's comment a sad and despairing tone.

In this context, Daisy suggests that she hopes her daughter is a fool. Daisy expresses a defeatist attitude. She implies that women have a difficult role to play in the world, so the best chance for her daughter to be happy is to accept the traditional role of subservient woman. Essentially, in this case, Daisy is hoping her daughter is ignorant because ignorance is bliss. If her daughter is unintelligent, she won't know how the world really works and/or that there are alternatives to marrying people like Tom. 

It is important to note that when her daughter is born, Tom is not there. 

It’ll show you how I’ve gotten to feel about—things. Well, she was less than an hour old and Tom was God knows where. I woke up out of the ether with an utterly abandoned feeling, and asked the nurse right away if it was a boy or a girl. She told me it was a girl, and so I turned my head away and wept. 

Later in the novel, Daisy reveals that Tom has had affairs (in addition to his affair with Myrtle Wilson). We, readers, can only speculate as to where Tom is at the time of his daughter's birth, but even if he isn't off having an affair, he is still negligent for not being there. 

Instead of hoping that her daughter will be self-reliant and able to make informed decisions (and hopefully avoiding marrying someone like Tom), Daisy feels defeated and pathetically hopes that her daughter will be happy in her ignorance. 

Daisy is obviously unhappy and is expressing her disillusionment when she expresses this sentiment. Her remark comes after she had informed Nick about her cynicism about everything. Prior to this she had been speaking to Nick and he noticed a peculiar change in her, as he states:

...her voice compelled me forward breathlessly as I listened — then the glow faded, each light deserting her with lingering regret, like children leaving a pleasant street at dusk.

It seemed as if the more Daisy spoke about her life, the more aware she became about how empty and meaningless it actually was. The interruption later, when Tom received a phone call from his mistress, clearly added to her disappointment. She tried her best to hide what she felt, but Nick had noticed a definite change in the atmosphere and perceived a tenseness, especially after the phone rang again. The tension was so thick that Nick felt the urge to phone for the police.

Daisy later informed him about her misery when she said:

“Well, I’ve had a very bad time, Nick, and I’m pretty cynical about everything.”

Nick believed that she had more than enough reason to be so negative but she did not offer any more insight. He then changed the topic and started talking about Daisy's child. She declared that Tom had not even been present at his child's birth and that she, after determining the child's gender, made the remark quoted in the question.

Daisy's remark is a reflection of what she believes a woman should be like since she realises that she had been made a fool of. Tom has had numerous affairs and has not shown her the care and affection she believes she deserved. It would have been better if she were stupid enough not to care about what her husband did. As far as being beautiful, Daisy is suggesting that a woman who is attractive would be able to hook any man, as she apparently did when she drew Tom's interest and married him.

It is quite ironic that Daisy should find herself in this situation for, just as Jay Gatsby discovers later, the dream is far different to the reality. Daisy could not wait for Jay and decided to marry Tom, probably believing that his wealth would be enough to ensure happiness. Jay, similarly, believed that wealth would secure Daisy and that he would be able to recreate the past. Tragically, what he had was not enough and the dream was never fulfilled.

Further irony also lies in the fact that Jay could have given Daisy the love and attention she so desperately sought but she was not prepared to give up her family and life of privilege. She told Jay that he wanted too much and accepted her lot.  

Daisy's remarks about her daughter's birth in Chapter One come after the telephone has rung "startingly" during Nick's first visit and invitation to dinner at the Buchanan mansion. Hearing the phone, Daisy has frowned and shaken her head. As Daisy and Nick converse, he notes that "turbulent emotions possessed her," so he asks her about her little girl.

"We don't know each other very well, Nick...Well, I've had a very bad time, Nick, and I'm pretty cynical about everything."

Having said this, Daisy explains that as she tells him about when Pammy was born, "It'll show you how I've gotten to feel about--things." At the time the baby was born, her father was not present and could not be reached. Daisy tells Nick that when she came out of the ether, she felt abandoned; she asked the nurse the baby's gender. When the nurse replied that the baby was a girl, Daisy turned her "head away and wept," saying that she hoped the girl would be a fool.

Obviously, the marriage between Daisy and Tom Buchanan is not a happy or fulfilling one, and Daisy feels that she is not respected or loved. In her cynicism, she decides that if her daughter is a "fool," she probably will not become aware of her men's philandering or abandonment as Daisy has tearfully been, and, therefore, will not suffer as Daisy has.