I'm not saying that a lady protag is wrong. It's just that I won't read a story where I can't identify with the protagonist. If ever comes a time where you can pick the protag's gender (as stated in the possible upcoming features of the game) then I would gladly read it.
girls play games with male protagonists all the time just cause the game is cool. You can identify with the protagonist, women are human. You spend your life limited because you choose to.
