(1) Are there more than two gender identities? Yes.
(2) Are there more than two socially ascribed genders? Yes, given that (1) has achieved a significant degree of acceptance, as has aligning ascribed gender with identity.
(3) Are there more than two grammatical genders? Depends on the language.
(4) Are there more than two arrangements of sex-related biological traits? Yes
(5) Are there more than two of any of the items in #1, #2, or #4 on which people might preferences that would be relevant in a dating app? Probably.
That question needs unpacked further:
(1) Are there more than two gender identities? Yes.
(2) Are there more than two socially ascribed genders? Yes, given that (1) has achieved a significant degree of acceptance, as has aligning ascribed gender with identity.
(3) Are there more than two grammatical genders? Depends on the language.
(4) Are there more than two arrangements of sex-related biological traits? Yes
(5) Are there more than two of any of the items in #1, #2, or #4 on which people might preferences that would be relevant in a dating app? Probably.