Although I can't write a whole synapse on this subject, I can state my opinion.

Sexism in any factor is wrong. Now I may believe some things men do better and some women do better but I can't name them off the top of my head and besides, thats more down to physical design than anything else.
As for geek level, well, I have a very dam geeky sister but she doesn't know anything about the games or sci fi I play and watch but I don't know anything really about her D&D games or Eragorn books (though she still begs me to read them). We are all geeks in our own way it just depends on the field of study you prefer. I like HALO, Gears and fantasy/sci fi. She has similar interests but not in Gears or HALO.

In short, we're all geeks, just accept you work in a different department!