inelegance vs puffiness

inelegance and puffiness both are nouns.

Word	Noun	Adjective	Verb	Adverb
inelegance	Yes	No	No	No
puffiness	Yes	No	No	No

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

inelegance: the quality of lacking refinement and good taste
puffiness: lack of elegance as a consequence of being pompous and puffed up with vanity

inelegance (noun)	puffiness (noun)
the quality of lacking refinement and good taste	lack of elegance as a consequence of being pompous and puffed up with vanity
	an abnormal protuberance or localized enlargement