I’m a big fan of Rollo’s work, but I’m going to have to very respectfully disagree. Reason being, issues like this are so common among women in my experience that finding a woman who doesn’t have some kind of mental problem once you get to know her well is almost like finding a unicorn. I used to wonder if that assumption was unfair, but in private, I have never talked to a guy that disagreed with it.
What that means is that when you’re with a woman, a little instability comes with the package. It can be minor, severe or anything in-between, but it is going to be there and you are going to have to decide whether you can live with whatever it happens to be. It can be bad enough to be a deal-breaker or just a negative that can be outweighed by other things. I’d also note that people with mental illnesses, both men and women, tend to get better at controlling it as they get older. A woman that may scare you to death at 20 may have it managed at 30 to the point where it doesn’t cause too many problems. Of course, people being people, you can’t count on that. You just have to take them as they are, flaws and all. If you don’t think you can live with whatever a woman’s problem is, then cut her loose.