Why won't many women date a man shorter than themselves?

Personal preference. And it is not as common as they claim it is. I know many girls who are serious and set on the dude having about the same height as them and know many others who are currently in serious relationships with boys shorter than them. Also a trivia: evidently women prefer someone around their same height for .. um .. any sexual stuff (excluding the dude's private's size) .. something romantic or preferred about their faces being on the same level when they're busy or kissing evidently.