applique vs embellish

applique is a noun but embellish is not a noun.

Word	Noun	Adjective	Verb	Adverb
applique	Yes	No	Yes	No
embellish	No	No	Yes	No

As verbs, embellish is a hypernym of applique; that is, embellish is a word with a broader meaning than applique:

Other hypernyms of applique include adorn, beautify, decorate, grace, ornament.

applique (noun)	embellish (noun)
a decorative design made of one material sewn over another

applique (verb)	embellish (verb)
sew on as a decoration	make more beautiful
	add details to
	make more attractive by adding ornament, colour, etc.
	be beautiful to look at