Right deli, wrong to be annoyed (5)
I believe the answer is:
riled
'be annoyed' is the definition.
(I've seen this before)
'right deli wrong' is the wordplay.
'right' becomes 'r' (common abbreviation).
'wrong' is an anagram indicator.
'deli' is an anagram of 'iled'.
'r'+'iled'='RILED'
'to' is the link.
(Other definitions for riled that I've seen before include "Made angry" , "Irritated, provoked" , "Cross" , "Annoyed" , "Nettled" .)