I'm absolutely atrocious at writing female characters even in a society that's slowly groping towards equality. (I'm a guy, and really badly socialized. So sue me.) This is...reasonably helpful.
The two female characters I've really fleshed out got past #3 by being DAMN good at their jobs. (Engineer and blacksmith, respectively.) The engineer would rather tackle problems than men (not asexual, just prefers her work and doesn't plan on having children for years) and the blacksmith, (also not asexual) reacts to harassment with threats involving her hammer and the harasser's anatomy.