Mindfulness helps with these situations, imo. Focus on breath, don't hold it. Also, realize that what you've heard are "just" words. I try to step back and look at what was said. Is it one person's opinion? Could it be heresay? How does it really affect me? Would it normally be a funny thing if I weren't feeling offended, meaning, can I laugh at myself?

I think working with recognizing the cognitive distortions (a highlight of CBT) prevents many upsets. Seeing things in black and white context, or catastrophizing never helps a situation, imo.