Case lost after misrepresentation is admitted by the woman (7)
I believe the answer is:
holster
'case' is the definition.
(I've seen this before)
'lost after misrepresentation is admitted by the woman' is the wordplay.
'after misrepresentation' indicates an anagram.
'is admitted by' indicates putting letters inside.
'the woman' becomes 'her' (pronoun for a woman).
'lost' with letters rearranged gives 'olst'.
'olst' placed into 'her' is 'HOLSTER'.
(Other definitions for holster that I've seen before include "Lost her (anag.)" , "Holder for a hand-gun" , "Pistol carrier" , "Leather case" , "Pistol sheath" .)