An anthropoid ape shunning ill goat (6)
I believe the answer is:
angora
'goat' is the definition.
(Angora is an example)
'an anthropoid ape shunning ill' is the wordplay.
'anthropoid ape' becomes 'gorilla' (gorillas are apes).
'shunning' suggests deleting specific letters.
'gorilla' with 'ill' taken away is 'gora'.
'an'+'gora'='ANGORA'
(Other definitions for angora that I've seen before include "A groan from a goat" , "Goat producing mohair" , "Breed of goat, cat or rabbit" , "Fabric from animal hair" , "Woolly" .)