I hate our new room mate

I can't stand this girl. She's messy and condescending and annoying and I want nothing more than to tell her off but I can't, because she has anxiety and depression and you can't tell someone off when they have those kinds of things. But she's so needy and I didn't sign up for this. I didn't sign up for another annoying mother or to take care of someone 24/7. Generally, if I take care of someone, it's because I love them. I do not love this girl. I do not even remotely like her at the moment. Every time we go out to do something, more often than not it's to get away from her. And I understand it's awful, I know, I feel guilty and awful about it, but it's hard not to give in to the escape when I'd rather have some peaceful and legitimately fun time and I can't have either of those with her around. Tonight she asks that we cuddle because she's super anxious and depressed about her birthday. I want to tell her to fuck off because I don't just cuddle with anyone, but that will negate everything else I've told her. I don't know how to handle her. I'm just a giant asshole and I know that, and I shouldn't be trusted around anyone with anxiety because I can't deal with their shit, it makes me so angry. Like I know they have problems in their brain, so do I. But mine make me angry. Mine make me want to tell her to shut the fuck up and deal with her problems and stop crying BUT I CAN'T BECAUSE YOU CAN'T TELL SOMEONE WITH ANXIETY THAT.
There's no help pages out there for the people who have to deal with the people with anxiety. They just say to be understanding and help out but I can't help if she doesn't fucking help herself. I'm so mad. I don't know what to do. I need to take my medication again, I think. Before I do something really bad.