delicacy vs discernment

delicacy and discernment both are nouns.

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

As nouns, discernment is a hypernym of delicacy; that is, discernment is a word with a broader meaning than delicacy:

Other hypernyms of delicacy include appreciation, perceptiveness, taste.

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