from what I can tell, consensus hasn't been made and there is a lot of regional consensus. For example, I see US English honing in on "man/woman refers to gender, male/female refers to sex" while some Commonwealth English not having that exact distinction. On the internet, this makes things very confusing because its not clear where consensus is, and its not clear if someone is saying something exclusionary when they're critiquing the nomenclature. obviously, if you are fearing something that doesn't make sense, this ambiguous regional discourse masquerading as consensus only will validate your suspicions.
Actually a lot of them now do identity as female, and claim to have literally changed their sex from male to female.
The old idea of "man/woman refers to gender, male/female refers to sex" no longer applies these days.
Not content with colonizing the word "woman", they've now done the same to "female".
This is contemporary trans discourse for you, erasing women and trampling all over women's rights.