My girlfriend does. None of her animals are up to breeding size, but after seeing how much fun this hobby is, she made the decision to start off with rainbow boas and panther chameleons It's been awesome, I've helped her out with reptile care and she's helped me out with tropical plant care. Together we've put together some awesome planted vivariums.

As far as women in the hobby goes, I see plenty of women both attending and vending at reptile shows.

If you look at species such as geckos and tortoises, you'll find that it's quite likely that women in fact OUTNUMBER men when it comes to keeping/breeding.