Rose disheartened, with daughter taken in by carpenter's response (9)
I believe the answer is:
rejoinder
'response' is the definition.
(I've seen this before)
'rose disheartened with daughter taken in by carpenter's' is the wordplay.
'disheartened' suggests removing the centre.
'with' is a charade indicator (letters next to each other).
'daughter' becomes 'd'.
'taken in by' is an insertion indicator.
'carpenter' becomes 'joiner' (I've seen this before**).
'rose' with its centre removed is 're'.
'd' put within 'joiner' is 'joinder'.
're'+'joinder'='REJOINDER'
(Other definitions for rejoinder that I've seen before include "A sharp reply or retort" , "Clever answer" , "Quick comeback" , "Response" , "Quick, witty reply" .)