I frankly find it hard to believe the accusation of "gaslighting" is honest here (and the many other places it appears in this context) - sorry. You may find it disagreeable for political reasons that there are multiple colloquial definitions of the words "man" and "woman" (genetic, sexual identity, whatever), and you may disagree that she was implying we should hate or disrespect people for sex identity related stuff (and you may be right! I have no idea because the context of her post wasn't posted for some reason). But neither of those things are what you expressed. You're choosing to avoid them.