(of speech, words etc) showing bad behaviour, a bad quality etc or one's low opinion; damaging a good reputation

offensive, uncomplimentary

suggesting that a person or thing is of little value or importance

derogative

likely to cause anger, envy, jealousy, (because of real or apparent injustice)

hateful

containing a libel

derogatory

using rude and strong words of abuse

foul-mouthed, vulgar