Despicable person embracing Conservative is bigot (6)
I believe the answer is:
racist
'bigot' is the definition.
(racist is a kind of bigot)
'despicable person embracing conservative is' is the wordplay.
'despicable person' becomes 'rat' (I've seen this before).
'embracing' means one lot of letters goes inside another.
'conservative' becomes 'c' (abbreviation commonly used in UK politics).
'c'+'is'='cis'
'rat' placed around 'cis' is 'RACIST'.
(Other definitions for racist that I've seen before include "One ethnically biased" , "proponent of B&W crime drama?" , "Scar it (anag)" , "Hostile towards people of other ethnic origins" , "One prejudiced against people of other nationalities" .)