I want to pretend to be a woman in order to legitimize our Crypto club to the University Administration
Isn't that fraud? Are you sure pretending to be a woman is the best thing to do?
It's not like I can do much about it.
You shouldn't fake your gender in order to get people to do what you want. Although you might have noble purposes, if caught then your plan can backfire completely. You may lose trust with the approval committee.
You're just a bunch of close-minded snowflakes, who can't handle reality.
I'm just trying to be real about this, committing fraud like this to institutions can net you lots of trouble and prevent you from even establishing the club. Why not just try to have more females in the club instead of pretending to be one?