unsympathetic vs unkindly

unsympathetic and unkindly both are adjectives.

Word	Noun	Adjective	Verb	Adverb
unsympathetic	No	Yes	No	No
unkindly	No	Yes	No	Yes

As adjectives, unsympathetic and unkindly are synonyms defined as:

unsympathetic (adjective)	unkindly (adjective)
not sympathetic or disposed toward	lacking in sympathy and kindness
(of characters in literature or drama) tending to evoke antipathetic feelings
not agreeing with your tastes or expectations
lacking in sympathy and kindness
not having an open mind

unsympathetic (adverb)	unkindly (adverb)
	in an unkind manner or with unkindness