The male/female choice strikes me as a bit silly if there is no other customization. Think about it, the character is still probably written as a man, so you have a woman thinking and acting nothing like a woman. It makes the use of a woman's appearance purely superficial. It's different if there are womanish choices, to express female- [renegade interupt]- *take a knee to the groin, and fly out the window.*
Not that I pretend to know the game's story or anything... but I can't imagine it will involve a terrible amount of interaction with other characters on a personal level where gender would matter. Interactions as captain should not really vary if you're a man or a woman, except for your being addressed as maam as opposed to sir.
Example - on how many of Voyager's 100+ episodes was there even a short moment where you couldn't have substituted a male for Kate Mulgrew and still have the lines make sense. There were some, of course, but very few that I can remember. I'm obviously excluding "sir" and "maam" again here

I think your last sentence implies you were interpreting "woman" to mean stereotypical teenage girl as oppose to highly trained Starfleet officer, though I'll admit I'm not totally sure of what you were trying to say. Aside from TOS and some of TNG, women and men don't behave that differently in Star Trek, minus the attractive characters who act like that to sell the show