discernment vs delicacy

discernment and delicacy both are nouns.

Word	Noun	Adjective	Verb	Adverb
discernment	Yes	No	No	No
delicacy	Yes	No	No	No

As nouns, delicacy is a hyponym of discernment; that is, delicacy is a word with a more specific, narrower meaning than discernment:

Other hyponyms of discernment include connoisseurship, vertu, virtu, style, trend, vogue, discretion, culture.

discernment (noun)	delicacy (noun)
the trait of judging wisely and objectively	the quality of being beautiful and delicate in appearance
the mental ability to understand and discriminate between relations	subtly skillful handling of a situation
the cognitive condition of someone who understands	lack of physical strength
perception of that which is obscure	slenderness
delicate discrimination (especially of esthetic values)	lightness in movement or manner
	refined taste; tact
	something considered choice to eat