The term is no-pology.
Here's how it works:
Jane: I can't believe you told your best friend my is sister a whore! Where do you get off saying that?
Dick: I'm sorry your sister is a whore.
BAM - classic no-pology.
Basically, it's like this:
When someone apologizes, not for what they said/did wrong, but for how you feel about they said or did.
"I'm sorry you're a pussy whose feelings get hurt when I'm a complete and total asshole."
I'll close with this:
Have you ever been told that you look like a llama?