Criminal admits that hurt ability to turn a profit (5,5)
I believe the answer is:
midas touch
'ability to turn a profit' is the definition.
(ability to turn things into gold)
'criminal admits that hurt' is the wordplay.
'criminal' indicates an anagram.
'that hurt' becomes 'ouch' (expression of pain).
'admits' with letters rearranged gives 'midast'.
'midast'+'ouch'='MIDAS TOUCH'
(Other definitions for midas touch that I've seen before include "Financial aptitude" , "Lucrative ability" , "financial talent" .)