More generally, humans will basically always show bias towards those in more dominant groups, because currying favor with such people is a far better winning strategy than being nice to low-status individuals. Whether the Hutus and Tutsis, white and black, masculine male vs effeminate, etc, it always is the same.
This is just an unfortunate thing about the human brain, but we can use our reasoning ability to correct it. But first, we have to accept hat it exists.
If masculine men are preferred, then that means everyone else isn't. It's an obvious avenue for discrimination against women and LGBT people.
I'm a very masculine gay man (I'm just stating that as a fact, I'm not better than anyone else for it). I do know many more effeminate gay men. Things really are more difficult in the workplace for them especially, not jut in my experience, but empirically. I'm glad I don't have that affect because it makes my life easier, but biases like this can creep in and will always be damaging.
That seems like a baseless assertion to me, what makes you so certain that masculinity or correlated factors have no effect on job performance for male CEOs?
https://www.vox.com/identities/2017/3/7/14637626/implicit-as...
Critiquing male power and men's sexist behavior towards women is not "misandry"