fruit compote vs dessert

fruit compote and dessert both are nouns.

Word	Noun	Adjective	Verb	Adverb
fruit compote	Yes	No	No	No
dessert	Yes	No	No	No

As nouns, dessert is a hypernym of fruit compote; that is, dessert is a word with a broader meaning than fruit compote:

Other hypernyms of fruit compote include afters, sweet.

fruit compote (noun)	dessert (noun)
dessert of stewed or baked fruit	a dish served as the last course of a meal