No one is saying you can’t use the word woman

Entire organisations are doing this - Stonewall campaigned for the word “mother” to be removed from government policies, ACLU removed “woman” from a famous RBG quote, Planned Parenthood claims the term “women’s health care” is transphobic… it just goes on and on, how can they claim “nobody’s saying that!” with a straight face??

I think for some of them they mean the literal word “woman” is not banned on its own. They fail to realise that banning it “in certain contexts” is the same thing.

What they meant is that you are allowed to use it to refer to biological males.

Yes! Only TIMs are allowed to be women or mothers, the rest of us are "birthing bodies" and "bleeders". Likewise only men and their partners (whether bi/hetero women or other men) are allowed to be lesbians, actual lesbians are "genital fetishists". It's all about elevating men and degrading women.