WordNet records no synonym and no antonym for gender identity. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
your identity as it is experienced with regard to your individuality as male or female; awareness normally begin in infancy and is reinforced during adolescence
Synonyms, antonyms and the broader and narrower relations for gender identity come from Princeton University’s WordNet. Full sources and licences.