I can't think of the name for this exercise where a man (it may well be a woman, but it's quite unusually) hanging on a horizontal bar with his hands and pulling his body so that his chin touches the bar.
I guess I have made some mistakes writing this post, thus I would be grateful if you would point them out to me.
My guess would be 'pull ups' but I am uncertain about it.
[AmE - not a teacher]
If your palms are facing away from you, it is called a pull-up. If your palms are facing towards you, it is a chin-up.
You should omit this phrase altogether, as it sounds sexist. In the US, it is common (and expected in certain cases) to use gender neutral language (ex. "he or she" or "they" in place of "he"). In your instance above, you've gone the opposite route.
That said, I also think you're wrong. It is not unusual to see a woman doing a pull-up. I see it every day.