Doreen's dicky back (7)
I believe the answer is:
endorse
'back' is the definition.
('endorse' can be a synonym of 'back')
'doreen's dicky' is the wordplay.
'dicky' is an anagram indicator (dicky can mean ill or non-functioning).
'doreens' is an anagram of 'ENDORSE'.
(Other definitions for endorse that I've seen before include "Support (with signature)" , "Affirm" , "Champion" , "Red ones (anag.)" , "Give one's sanction to" .)