There are two topics that I think are getting muddled here.
I see these are two separate entities (but it is possible to hit both).
- Being offended
- Being critical
Sure it is. If I'm offended by something, the first thing I do is see if the problem is me and my own bias and filters, if the problem is the directness, context, and implication of the slur/insult/dismissiveness of the other party's rhetoric, or a little of both.
If I see anything insulting, degrading, or dehumanizing in a conversation public or private, I'll say so. If it's triggering (and those are specific in nature and not a generalized topic per se), I'll cope best I can. But if a trigger is repeatedly applied I'll either have a private conversation to request a different approach out of respect for my health - and if I feel the other party gives a **** - or I bow out because it's not worth my time or my sanity.