How does Emily's father, her cousins, Homer, and the townspeople contribute to her problem of marrying and finding happiness?
Emily's father is of the opinion that none of the suitors who call for her are good enough to be her husband and refuses their requests to marry Emily.
The cousins are equally judgmental and protective of the family reputation. They are full of opinons about what Emily should and shouldn't do, what's proper for a lady of her stature, and who is not proper to be seen with in public (or private, that matter).
Homer is everything that Emily's father and cousins despise. He is loud, unsophisticated, rough around the edges, and absolutely NO southern gentleman. Miss Emily is ready to make her own decisions, but we can only infer that Homer had other ideas. Perhaps he wanted to mover her up north, or he just considered her something fun to do while he was in town. Emily did not approve of being humiliated, so she took care of the problem.
Emily never married, but she did purchase a man's grooming set, among other items which were all found neatly arranged in her room after her death. While we know they were never married, in her own mind, they were. Happiness is another matter altogether. On the one hand, Emily is not traditionally married. On the other, she has prevented Homer from causing her further scrutiny among the townspeople by leaving her alone after spending so much unsupervised time with her. This just wasn't done in Miss Emily's time.