gender vs androgyny

gender and androgyny both are nouns.

Word	Noun	Adjective	Verb	Adverb
gender	Yes	No	No	No
androgyny	Yes	No	No	No

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

gender: the properties that distinguish organisms on the basis of their reproductive roles
androgyny: showing characteristics of both sexes

Other hyponyms of gender include maleness, masculinity, bisexuality, hermaphroditism, femaleness, feminineness.

gender (noun)	androgyny (noun)
the properties that distinguish organisms on the basis of their reproductive roles	showing characteristics of both sexes
a grammatical category in inflected languages governing the agreement between nouns and pronouns and adjectives; in some languages it is quite arbitrary but in Indo-European languages it is usually based on sex or animateness