I'm a chess fan. Men-only events were abolished in the 1980s. There are now women's events (no men allowed) and open events (everyone allowed). In practice open events are 90% male, and the male players, especially at the lower levels, tend to fit the smelly and socially inept stereotype. Playing in them can be unpleasant for women, and women's events exist basically to provide playing venues where women can enjoy competitive chess while staying the hell away from us clueless males. As a clueless male myself, I can get behind that, no problem. I understand and I'm fine with it. How do cis women feel about playing alongside trans women? Idk, I'm cis male and I don't feel entitled to spout off about that. But I think they are the ones I'd want to listen to the most.

The top levels from what I can tell aren't as bad as the lower levels, since the effort it takes to reach that level of chess tends to weed out the clueless and lazy. There is still bad stuff though, e.g. the incidents with GM Alejandro Ramirez.

You might like the book Chess Bi tch (that is the title, damn censor bot),by WGM Jennifer Shahade reviewed here , about her experiences in both women's and open chess events coming up through the ranks.

As for FIDE, there currently aren't really alternatives at the top levels. FIDE on the other hand is not much of a factor in lower and mid level chess. Those events tend to be regulated by national and ad hoc federations, etc.