Person with no faith in country where Democrat gains advancement (7)
I believe the answer is:
infidel
'person' is the definition.
(infidel is a kind of person)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for infidel that I've seen before include "One without religion (mainly archaic)" , "Heathen" , "Literally, 9 [UNFAITHFUL]" , "Person who rejects a religious belief" , "Sceptical" .)