Resolutely oppose woman with gay man (5)
I believe the answer is:
beard
'resolutely oppose' is the definition.
I can't judge whether this definition defines the answer.
'woman with gay man' is the wordplay.
'woman' becomes 'bea'.
'with gay man' becomes 'rd' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'bea'+'rd'='BEARD'
Can you help me to learn more?
(Other definitions for beard that I've seen before include "Hair on the chin" , "Whiskers" , "Facial growth" , "where food sometimes trapped?" , "Facial hair" .)