What may be wanted after a night on the tiles destroyed her good faith (4,2,3,3)
I believe the answer is:
hair of the dog
'what may be wanted after a night on the tiles' is the definition.
(hair of the dog is a supposed hangover cure)
'destroyed her good faith' is the wordplay.
'destroyed' indicates an anagram.
'her'+'good'+'faith'='hergoodfaith'
'hergoodfaith' with letters rearranged gives 'HAIR OF THE DOG'.
(Other definitions for hair of the dog that I've seen before include "Morning tipple after night of excessive drinking" , "'...that bit one' completes a dubious hangover remedy" , "Alcohol as hangover cure (colloq.)" , "pile surrounding setter?" , "Treatment for bad head" .)