chagrin vs embarrassment

chagrin and embarrassment both are nouns.

Word	Noun	Adjective	Verb	Adverb
chagrin	Yes	No	Yes	No
embarrassment	Yes	No	No	No

As nouns, embarrassment is a hypernym of chagrin; that is, embarrassment is a word with a broader meaning than chagrin:

chagrin: strong feelings of embarrassment
embarrassment: the shame you feel when your inadequacy or guilt is made public

chagrin (noun)	embarrassment (noun)
strong feelings of embarrassment	extreme excess
	some event that causes someone to be embarrassed
	the shame you feel when your inadequacy or guilt is made public
	the state of being embarrassed (usually by some financial inadequacy)

chagrin (verb)	embarrassment (verb)
cause to feel shame; hurt the pride of