I'm beginning to realize that many people(well, many white people, at least) pull from the same narrative in these situations.

1. Get offended and insist you've gone nothing wrong
1a. Get explanation of what you've done
2. Insist explanation is wrong
2a. Get more explanations + public censure as you make yourself look worse and worse
3.'Recant' and offer an apology that isn't actually an apology, like "I'm sorry anyone was silly enough to be offended by X offensive thing." Present yourself as the victim in the situation.