Again, if you respect the person you're standing next to, the person who's now offended by something you've said, then you're probably going to act a certain way: you're probably going to hear them out about you offended them, and you'll probably want to apologize and then amend your behavior.
Can you reconcile "I respect you" and "I'm not going to acknowledge your being offended, but instead will tell you how you're wrong"?
Can you reconcile "I respect you" and "I'm not going to acknowledge your being offended, but instead will tell you how you're wrong"?