Game for any sort of pipe organ but disregards rap (6)
I believe the answer is:
pigeon
'game' is the definition.
The answer and definition can be both animals as well as being singular nouns.
Perhaps they are linked in a way I don't understand?
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for pigeon that I've seen before include "Columbiform bird" , "Bird of towns and woods" , "Common city bird" , "Short-legged bird" , "Dove-like bird" .)