I have friends who request certain gender pronouns are used, which I do not believe to be correct. I have thought about this topic at some length and concluded that while using these pronouns would be loving to my friends, it clashes with my conscience. The crux is that ethically/morally I do not believe that a person's self-perception and wishes to be recognised a certain way should take priority when we disagree.
This could be abstracted to any situation where we disagree of course not just gender identity, but given this is typically closely linked with a person's very sense of self I can't see a way to put my position that wouldn't be taken as an attack on the person themself.
If I cannot in good conscience refer to someone by their preferred pronoun for equally deep-seated reasons, how can I proceed? We would surely struggle for it not to be an issue because while most people are gracious to accidentally mis-gendering if I am corrected and simply ignore it, that's going to be quite obvious eventually.
Hopefully an obvious addendum but I realise this is very much an emotive, non-academic issue to many people. I do not wish to get into the details _of_ the issue. I could rewrite this as generically "when we disagree over an issue both of us feel is not negotiable" if that is more helpful.