Those epithets are dumb, but she does come across as closed-minded here and there. Sure, it's probably just that she's scared of the unknown, thus forgivable, but her refusal to learn - expressed repeatedly in banter and in conversations - is a flaw, and one that, if not mitigated, will make me step away from the romance.
She's opinionated and headstrong, and that is indeed her major flaw in some ways, so if you have strong disagreements with her then you may be on a collision course. She is not going to change for you, although I would counsel checking up on her "Cabinet of wonder whose it was" regularly. There's evidence there that she at least tries to learn more than she lets on.
Edit: I think it's worth adding that she's been told that she's wrong and different and not good enough so many times in her life that she instinctively lashes out at anyone who tries to tell her such things again. I think she might be capable of changing but it will be over a much longer time-frame than that of the game. What I believe she needs is acceptance and a place to feel like she belongs and is valued.