The best advice I can give is to get a female test reader. I'm hesitant about writing male characters; my father died when I was six and I have no brothers, so my exposure to how males act was limited until I was an adult. I only saw how they acted in public, which is not necessarily the same. My presence meant they were in public. It's only in living with people that you get a sense for what they're like in private, and I'm not sure it's leaked into my writing well enough yet.
I don't think you should focus on the biological differences, but I don't think you should ignore them, either. I agree that developing a compelling character is more important than worrying about whether or not it's a compelling female character, but I do mean it when I suggest finding a test reader. Someone you trust, someone whose preferred reading is similar to what you write. Or at least not someone who hates sci-fi.
"Now everyone was giving her that kind of look UFOlogists get when they suddenly say, 'Hey, if you shade your eyes you can see it is just a flock of geese after all.'"
"You can't erase icing."
"I can't believe it doesn't work! I found it on the internet, man!"