Snobbish prior Sue annoyed (8)
I believe the answer is:
superior
'snobbish' is the definition.
(I've seen this before)
'prior sue annoyed' is the wordplay.
'annoyed' is an anagram indicator.
'prior'+'sue'='priorsue'
'priorsue' is an anagram of 'SUPERIOR'.
(Other definitions for superior that I've seen before include "World's largest freshwater lake" , "Senior in rank" , "Better than, in a higher class" , "head of monastery" , "Bigger" .)