Rude, coarse artist becoming accepted by Society (7)
I believe the answer is:
abusive
'rude' is the definition.
(I've seen this before)
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for abusive that I've seen before include "Insulting, being harshly critical or offensive" , "Extremely insulting" , "Insulting, foul-mouthed" , "Defamatory" , "Criticising angrily and insultingly" .)