Pariah is not in shed (7)
I believe the answer is:
outcast
'pariah' is the definition.
(I know that pariah can be written as outcast)
'not in shed' is the wordplay.
'not in' becomes 'out' ('out' is the opposite to 'in').
'shed' becomes 'cast' (shed can mean to discard or cast off).
'out'+'cast'='OUTCAST'
'is' acts as a link.
(Other definitions for outcast that I've seen before include "In one of the islands, Joseph wrote" , "Social pariah or reject" , "one sent to Coventry" , "untouchable" , "One excluded from group" .)