Hesitates to discredit her story's content (7)
I believe the answer is:
dithers
'hesitates' is the definition.
(I've seen this before)
'discredit her story's content' is the wordplay.
'content' indicates the answer is hidden within the clue (letters contained within the clue).
'DITHERS' is hidden within 'discredit her storys'.
'to' is the link.
(Other definitions for dithers that I've seen before include "Hesitates indecisively" , "Flaps, wavers" .)