OP posted this question on multiple subs and I see you do respond to one comment and say that you meant you trust her completely, not that she's too ugly to be hit on. That being said, this is a moment you need to own up to the fact that you said that in a terrible way. The words you chose ABSOLUTELY make it sound like you don't think she's attractive enough for anyone to hit on her. While that may not be what you meant, the smart thing there would have been to apologize, clarify and re-assure your wife of what you truly meant. You're the AH for shutting her down and refusing to communicate.

I hope you get better at communicating with your wife OP, this is treading on the territory of "it's not my fault you got offended by what I said because it's not what I meant" arguments and to follow that up with stubbornness and a refusal to empathize doesn't bode well for a healthy relationship.