Shunned promo surrounding video nasty (7)
I believe the answer is:
avoided
'shunned' is the definition.
(to shun is to avoid or deny)
'promo surrounding video nasty' is the wordplay.
'promo' becomes 'ad' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'surrounding' indicates putting letters inside.
'nasty' indicates an anagram (a nasty or wrong spelling).
'video' is an anagram of 'voide'.
'ad' going around 'voide' is 'AVOIDED'.
Can you help me to learn more?
(Other definitions for avoided that I've seen before include "Missed" , "Steered clear of" , "Shunned" , "Kept away from" , "Eluded or dodged" .)