Conservative embraced by a sweetheart in the recess (6)
I believe the answer is:
alcove
'the recess' is the definition.
(alcove is a kind of recess)
'conservative embraced by a sweetheart' is the wordplay.
'conservative' becomes 'C' (UK political abbreviation).
'embraced by' indicates putting letters inside.
'sweetheart' becomes 'love' (both are terms of address to romantic partner).
'a'+'love'='alove'
'c' put into 'alove' is 'ALCOVE'.
'in' acts as a link.
(Other definitions for alcove that I've seen before include "sheltered spot" , "Recess in a small room or wall" , "Recessed area" , "Small opening off a larger room" , "private part?" .)