Would any women date someone with a mental illness?

I'm a 21-year-old female and mental illness has never been a deal-breaker for me. If I meet someone who I can have fun being with I'm pretty willing to give it a try and see what happens. As you get farther from being a teenager you have a better chance of meeting people who aren't shallow enough to run in the opposite direction at the first sign of something difficult, or at least that's how it's worked for me and my friends so far.