[George83728]

A man has a right to be offended by somebody asking him if he is a man. (Woman too, for that matter.)

Asking everybody their pronouns by default is an overtly political act, meant to re-engineer society to be more accommodating to people who's preferred pronouns do not match their visual appearance. The idea is that if everybody lists their pronouns, those people who's pronoun doesn't match their appearance will seem less conspicuous when they specify their preference. Since this listing of pronounces is a fundamentally a political act, you shouldn't be surprised when you encounter people who don't wish to participate in this sort of political action. Furthermore it is clearly inappropriate for employers to coerce workers to participating in such activism.