frappe vs frozen dessert

frappe and frozen dessert both are nouns.

Word	Noun	Adjective	Verb	Adverb
frappe	Yes	No	No	No
frozen dessert	Yes	No	No	No

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

frappe: a frozen dessert with fruit flavoring (especially one containing no milk)
frozen dessert: any of various desserts prepared by freezing

frappe (noun)	frozen dessert (noun)
a frozen dessert with fruit flavoring (especially one containing no milk)	any of various desserts prepared by freezing
thick milkshake containing ice cream
liqueur poured over shaved ice