game fowl vs poultry

game fowl and poultry both are nouns.

Word	Noun	Adjective	Verb	Adverb
game fowl	Yes	No	No	No
poultry	Yes	No	No	No

As nouns, poultry is a hypernym of game fowl; that is, poultry is a word with a broader meaning than game fowl:

game fowl: any of several breeds reared for cockfighting
poultry: a domesticated gallinaceous bird thought to be descended from the red jungle fowl

Other hypernyms of game fowl include domestic fowl, fowl.

game fowl (noun)	poultry (noun)
any of several breeds reared for cockfighting	a domesticated gallinaceous bird thought to be descended from the red jungle fowl
	flesh of chickens or turkeys or ducks or geese raised for food