Thanks for the responses. I think I'm going to particularly use danieleWrites deflection suggestion. I'll hold off switching and I do see, as all the responders suggest, it might turn out to be a nonproblem. If it came down to it I would choose my advisor for a committee over the professor she hates just because her research interests would be better for taking my work to the next level. My style is closer to the other professor but I came to grad school to grow so I guess I should focus more on that and just keep out of the rest of it.
I think I feel much less secure in grad school so office politics that would never have bothered me before freak me out now. I worked so hard to get where I am that I don't want to end up mucking things up by getting stuck in the middle of some bs like this. I had a career before grad school. I've been around office politics and I'm weary of them. I've seen offices turn toxic and know well how stressful those situations can be to balance. I'm used to that sort of gossip amongst my equals, not between employees and management. So having someone I perceive to be above me in rank trying to gossip with me was surprising I think part of the issue, that I didn't mention in my original post, is that the professor she hates came highly vouched for by professors from my undergraduate institution. who had been doctoral students with this professor.
Anyways, thanks again everyone. I'm chilling out a bit!