I personally think that we can answer this question with both a yes and a no. Of course, on the one hand, Pearl is going to be bothered by the sudden desertion of her husband and his lack of any real reason for it. Beck only says to her, after all, that he just "doesn't want to be married any more." After their years of marriage together, being suddenly left alone to fend for herself and try to raise her children single-handed is going to bother any character.
However, at the same time, I think we need to focus on how Pearl responds to the new and daunting situation she finds herself in. She never gives herself the luxury of wallowing in self-pity and attempts to make the best of this bad situation. She does what she needs to do in order to raise her children, taking a boring job as a cashier and doing everything she can to raise her children to the best of her ability. She is an indomitable lady, as the incident when she breaks her arm but stays with the kids for 48 hours because she doesn't want to leave them with neighbours shows. So, although she would have been daunted by the massive change in her circumstances, she is such a strong character that she gets down to working and doing what she needs to do in order to adjust to the new realities of her position.