i think what she desires is an ordinary life due to her shitty childhood. this deep desire to have normalcy causes her to view things that aren't "normal" and immediately put them in a category of "bad". she obviously wants to fit in and seem "normal" happy, two parent household, standard gender norms. But she sees Kwon and Ho together and knows that it's not "normal." because she desires normalcy AND cares for Kwon, she wanted him to also experience normalcy. especially knowing that he doesn't have a normal life nor has he ever. I don't think she hates Ho but she doesn't like what their relationship represents. Their loving and very green flag relationship challenges her idea of what a normal 2 parent household looks like re: Baby Ho possibly having 2 fathers.
I don't necessarily agree with her reasoning. But, i think this is why she craves normalcy for not only herself but Kwon as well.