"There are many different gender identities, including male, female, transgender, gender neutral, non-binary, agender, pan-gender, gender-queer, two-spirit, third gender, and many more gender identities."
There are three genders: masculine, feminine and neuter.
All apply to language.
“Neuter” is not a gender.
"There are many different gender identities, including male, female, transgender, gender neutral, non-binary, agender, pan-gender, gender-queer, two-spirit, third gender, and many more gender identities."