A feeling of offence (7)
I believe the answer is:
umbrage
'a feeling of offence' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for umbrage that I've seen before include "Displeasure" , "Resentment, offence" , "In high dudgeon" , "Take this to be offended" , "Feeling of anger caused by being offended" .)