Well, I think you should tune out people who try to use their language to hurt you. I don't think that's the same as ignoring criticism. I also don't think it's a bad idea to set aside some time each day for you to do something you like and not be bothered by external stress, no matter what. Not that that is a particularly novel idea.
I hate the word "hater". It's meaningless and it's probably the stupidest word in any language. Assuming it qualifies as a word. Even though you can't see it, I'm making exaggerated hand gestures and forcing super sincere facial expressions to emphasize this very important point.