cuisine vs cookery

cuisine and cookery both are nouns.

Word	Noun	Adjective	Verb	Adverb
cuisine	Yes	No	No	No
cookery	Yes	No	No	No

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

cuisine: the practice or manner of preparing food or the food so prepared
cookery: the act of preparing something (as food) by the application of heat

Other hypernyms of cuisine include cooking, preparation.

cuisine (noun)	cookery (noun)
the practice or manner of preparing food or the food so prepared	the act of preparing something (as food) by the application of heat