First of all, in the current premise, there are no women BASEBALL players who could compete, so is it any more far fetched to have a woman who could? Second of all this is fiction. As I said, you don't think there are women who play with men on the schoolyards? Women who could hit an outside jumpshot? I thought there was a woman or two who have attended NBA training camp? Nancy Lieberman perhaps? The premise here is a woman who's an EXTRAORDINARY athlete, not the average player.