Feeling of guilt about detective (7)
I believe the answer is:
remorse
'feeling of guilt' is the definition.
(remorse is a feeling of regret or guilt)
'about detective' is the wordplay.
'about' becomes 're' ('re' means regarding or about).
'detective' becomes 'morse' (Inspector Morse, fictional detective).
're'+'morse'='REMORSE'
(Other definitions for remorse that I've seen before include "Sorrow for wrong committed" , "A feeling of deep regret" , "Bitter regret" , "Feeling of guilt" , "Compunction" .)