Why not pose the question, why shouldn't women ask out men?
The most common answer you will get will be something based off of social norms and the way things are suppose to be and always have been or something about gender stereotypes. "Its just the way things are." "Men are suppose to be the ones who make the first move." "If a woman asked out a man she would appear as if she were a slut, whore or a flirt." Or a slew of other derogatory remarks.
All of those are just complete and utter bullshit, social constructs based off of "norms" generated from a society that is as fucked up as it is. We buy into the same society that gives us these social norms AND that dictates its A-ok to kill people. I call horse shit