Detective having daughter carried out (3)
I believe the answer is:
did
'carried out' is the definition.
(I've seen this before)
'detective having daughter' is the wordplay.
'detective' becomes 'di' (Detective Inspector abbreviation).
'having' says to put letters next to each other.
'daughter' becomes 'd'.
'di'+'d'='DID'
(Other definitions for did that I've seen before include "was satisfactory" , "Carried out, performed" , "Performed an action" , "Executed!" , "Accomplished" .)