When it comes to what attracts me in women, first and foremost, she has to have a personality. She doesn't need to be brilliant, and if she is, then I don't want her to flaunt it. I've met many women who feel the need to compete over intelligence. I know men are like that too, and I totally don't want her to feel like there is some competition between us over who is smarter. Genius gives most people an ego, and that kind of thing would drive me crazy. Think the Lauren Conrad episode of Family Guy. On that note, stupidity is pretty bad too. I don't like having to dumb down my speech for people I'm meant to enjoy hanging out with, and that's the same for the person I'm dating.
I also think a certain level of physical attraction is important. I don't care that she's drop dead gorgeous, but I think it's important that she's attracted to me, and that I find myself attracted to her. Certainly, I don't want to date a person who spends ludicrous amounts of time dedicated to her appearance. I do think how I perceive her personality will have an effect in that area. I've certainly been less attracted to women who have no personality, are overly vain, or just completely unintelligent.