Papa Bear:
I’m a man, and have many had many women do it. It’s what some people do whilst rushing. Its not limited to gender. Same on the M buses.
Pushing back does not help. In fact, after a while, you’d end up a pusher! The one thing I’ve found that works most often, is to always try to move aside for them, maybe move aside in an exaggerated way. It then makes them feel. They’re all of a sudden, dealing with a human who respects them, so they may respond in kind.