A wooden part Ethel Merman had (3)
I believe the answer is:
elm
'a wooden' is the definition.
(as an adjective)
'part ethel merman had' is the wordplay.
'part' indicates a hidden word.
'ELM' is hidden within 'ethel merman had'.
(Other definitions for elm that I've seen before include "Native British tree" , "wooden" , "Tree for a Cockney tiller" , "Source of wood" , "Deciduous tree with rough serrated leaves" .)