I'd try to find some compromise. E.g. if they'd be ok with an english word, a new one, using the name instead... I haven't been in that situation yet - my language adopted the slightly stupid word "hen" for it, which already has a meaning in english. Most other people are ones I speak to in english. Also, Selene, there are people that doesn't give a flying about how people feel about pronouns and use incorrect one/s no matter what one would say, which sadly slightly invalidates the question. With those I simply stop any argumenting and misgender them back.
Technically, all words are once forced upon us, and we learn new ones all the time. Smartphone? Not existing in my youth. We get new slang words every year. Languages evolve. Still, I wouldn't want to force anyone to use a word if it would be just for me - which is the main reason I increased the list of pronouns I'm okay with from "it" which I feel is the right pronoun for me to basically everything except for he, she and something meaning both of them.