Rejected figure in group, bigot (6)
I believe the answer is:
sexist
'bigot' is the definition.
(sexist is a kind of bigot)
'rejected figure in group' is the wordplay.
'rejected' says the letters should be written backwards.
'figure' becomes 'six' (I can't justify this - if you can you should give a lot more credence to this answer).
'in' is an insertion indicator.
'group' becomes 'set' (both can mean a collection).
'six' backwards is 'xis'.
'xis' inserted within 'set' is 'SEXIST'.
Can you help me to learn more?
(Other definitions for sexist that I've seen before include "Exists (anag.)" , "discriminatory, in a way" , "discriminating sort" , "discriminating against women?" , "that's nicer to fellows?" .)