Anything you can fit, you can ride. Sports bikes are small, compact and lightweight these days, so if that's your preferred style, you'll find one you like. They're all about the same size physically, so don't go by engine size.
Cruisers are what a lot of girls ride because they're lower to the ground and less intimidating, though they can be fairly heavy because they're all metal. But generally speaking, you are not limited to any specific "genre". Get down to your local dealership and try a whole bunch of bikes for size and weight.