I really don't care if you are offended or put off by what I said or did. The hyperbolic threat is meant to undermine how much importance another person is or may be giving something one did or said. A: "You never make your bed in the morning." B: "Sue me! It's just going to get messed up again when I go to bed tonight." Yeah, I like to have a beer or two each night after work—so sue me!