No, it's not "liking" being hated, it's that it doesn't deeply disturb you.

Imagine you and a buddy have been arguing lately but you still go out hunting together. A bear appears out of nowhere and charges at your friend. You shoot and miss the bear but hit and kill your friend. There's not enough evidence to convict you of murder, so you walk free, but literally everyone around and whom you know thinks you murdered this person.

The trick is to let that wash off of you. You know you were trying to save your friend; there's not much you can do to change that opinion. Just let it not affect you as much as possible.