I don't like to offend people, but I often do, especially in writing, because I am always right. I am trying to be more aware of it.
Political correctness; I forget what that's about . . . like in a debate on something personally and politically charged, are you supposed to be politically correct or just give the facts? Or just personal anecdotes?
I feel pretty sure that personal innuendoes are inappropriate, but I think it happens often in heated debates because we live in such a polarized society and it causes most of us to assume stereotypical things about the person taking the opposite position, (like, if she had an abortion, she's a murderous whore or if he's anti-abortion, he hates women and such).
I care about peoples' feelings, but sometimes the facts are a key to unlock irrational fears and feelings, so political correctness might not be the answer.
I guess it depends on moods, settings and the issues, but if you're wrong about something or wrong in your approach to whatever is being discussed, it's probably a good idea to admit it and/or remove yourself from the discussion, which I also never have to do.