SUBREDDIT: r/relationship_advice
TITLE: [24M] I don't think it's going to work with my girlfriend [24F] but she's unstable and I still care about her
POST: I was really lonely at the time I started a relationship with my girlfriend, so I managed to overlook some of her personality traits that straight up make us incompatible.

Still, I've come to care about her well-being and she's going through a very difficult time in her life. She's really emotionally unstable at the moment and she seems to feel like my presence in her life keeps things from getting any worse. I'm pretty sure that this is true, and that she will get better over the coming weeks/months.

However, the longer we stay in a relationship, the harder it's going to be to break it off. And it will need to be broken off - there are parts of our personalities that just will not go together. Frankly, I'm not attracted to her at all.

How should I go about breaking up this relationship while still being supportive and there for her? More importantly, how do I do this without making her spin out of control (she's on antipsychotics right now, nothing super serious but enough to make me concerned)? Should I wait until she's in a more emotionally healthy state, in spite of how much harder it will be as a result of time passing?
TL;DR: 
? Girlfriend is unstable, I'm worried breaking up our relationship will send her off the deep end. Need to know how/when to break it off in the best way possible.