@ette_ well said honey. Some people do take pleasure from hurting others, from the misfortunes of others, from taking every opportunity to put others down for the slightest things. This really does say more about them though, about how unfulfilled, how unhappy they are in themselves, than it does about their victims. Their spite, nastyness and bile come from a dark place within themselves, and such people are best avoided at all costs. I had to cut friends like this out of my life but by the time I did the damage was already done, and done when I was at my weakest too.
As to the question, if someone repeatedly makes you feel bad, gives you a nickname you don’t like, even when you’ve said you don’t like it, they are picking not teasing. Kick them to the kerb, life is too short.
hugs xx