How does this deity stand in terms of gender and sexuality?

I can answer this question succinctly and well by reiterating what Sr. Christodelphia Mythistórima wrote back in August: “We strongly affirm that any person, regardless of sexual orientation, gender, gender identity, ethnic origin, age, culture, disabilities, nationality, race, or socioeconomic status, may approach Antinous directly and worship him as they see fit, without recourse…” to any group or individual. Antinous himself is male, or masculine (deities do have gender), but he is cool with everybody, and so are we.