fusion cooking vs cookery

fusion cooking and cookery both are nouns.

Word	Noun	Adjective	Verb	Adverb
fusion cooking	Yes	No	No	No
cookery	Yes	No	No	No

As nouns, cookery is a hypernym of fusion cooking; that is, cookery is a word with a broader meaning than fusion cooking:

fusion cooking: cooking that combines ingredients and techniques and seasonings from different cuisines
cookery: the act of preparing something (as food) by the application of heat

Other hypernyms of fusion cooking include cooking, preparation.

fusion cooking (noun)	cookery (noun)
cooking that combines ingredients and techniques and seasonings from different cuisines	the act of preparing something (as food) by the application of heat