In my experience geekiness does hurt your chance with certain women. Namely the ones who don't have much going for them other than their looks and who, although above average looking, aren't the hottest ones anyway. The 7 and 8s w.o much brains. (Actually there are techniques we have learned to get to these women if we want, but they are beneath our standard, so we mainly just use them for warm-ups and practicing material on.)
Now, OTOH, being a geek is most helpful with intelligent girls, of course, and somewhat oddly, the super good looking ones even if they are only of slightly above average intelligence themselves. (A sense of humor is also a must.)
The tricks for geeks are to just be comfortable with who you are and your interests, and to be able to converse on things women find interesting: psychology and social dynamics are always great topics to talk with women about. Some become a psychology geek.
corey: I also disagree that most women have a "type". If they like you they like you: doesn't matter what they thought their type was before. In fact if they like you (and think you like them) their "type" will change.