Feeling of annoyance (7)
I believe the answer is:
chagrin
'feeling of annoyance' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for chagrin that I've seen before include "Arching with annoyance and embarrassment" , "Arching with annoyed disappointment" , "Discomfiture" , "Feeling of vexation or embarrassment" , "Disappointment, exasperation" .)