There is no such thing as cyberbullying. Those random people throwing insults around do it to everybody. If they just so happen to toss a word that is offensive to your demographic it was a coincidence. That is, unless you baited yourself (eg. bragging about being some gay slutty emo furry who makes Sonic recolors), in which case you should only expect to get hate.

There's this magical new button that's being implemented in just about every website. It's called the "Block user" button. Try using it.