Discredited Welsh politician hides in outhouse (6)
I believe the answer is:
shamed
'discredited' is the definition.
(synonyms)
'welsh politician hides in outhouse' is the wordplay.
'welsh politician' becomes 'am' (I've seen this in other clues).
'hides in' indicates putting letters inside.
'outhouse' becomes 'shed' (I've seen this before).
'am' put within 'shed' is 'SHAMED'.
(Other definitions for shamed that I've seen before include "Made to feel humilated" , "Abashed" , "in disgrace?" , "He's mad (anag)" , "brought into disrepute" .)