delicacy vs fineness

delicacy and fineness both are nouns.

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

As nouns, delicacy and fineness are synonyms defined as:

delicacy and fineness: the quality of being beautiful and delicate in appearance

Other synonyms of delicacy include daintiness.

delicacy (noun)	fineness (noun)
the quality of being beautiful and delicate in appearance	the quality of being beautiful and delicate in appearance
subtly skillful handling of a situation	the property of being very narrow or thin
lack of physical strength	having a very fine texture
slenderness	the quality of being very good indeed
lightness in movement or manner
refined taste; tact
something considered choice to eat