BTW, I'd also point out that if you got rejected because of your genitals, you probably wouldn't know it. They'd probably have plenty of other defensible reasons they could hang their hat on, even if your genitals did have something to do with it. And you'd be left with a disquieting suspicion that is probably correct, and no way to prove it.

Which is very similar what institutional sexism is - except that women deal with it to a much greater degree than men.