In Ancient Greek mythology,
While many of the other greek gods - men and women alike - were promiscous, Athena was completely asexual, and not because she was a "pure" goddess of chasity or something. Athena really did not have any interest in sex at all. Many of the other gods wanted to marry her, but she would have none of it.
There is at least one myth that makes it explicit that she shared a degree of physical intimacy with one of her nymphs, Callisto.
In Hippolytus, the titular male hero challenges sexual norms because he is celibate, by some counts asexual, preferring to spend his time outdoors. He is also a pious young man devoted to Artemis, the goddess of the wilderness, and virginity.
In Ancient Greek mythology, Dionysus was the god of collective ecstasy. He is often described as an androgynous and asexual figure, whose followers would dance themselves into trances (Jameson, 1993).
Like other gods, Aphrodite would punish anyone, mortal or god, for slights against her. Theseus' son Hippolytus became a devotee of the virgin goddess, Artemis, and thus shunned the pleasures of the flesh. This angered Aphrodite, who felt that Hippolytus did not worship her sufficiently.
While Aphrodite is only depicted with male lovers in myth, she is said to have supported same-sex relationships in Ancient Greece, such as those of the poet Sappho, who is believed to have had relationships primarily with women lovers.
Artemis was a virgin goddess, and she was accompanied by nymphs, who also were expected to remain virgins.
Being associated with chastity, Artemis at an early age asked her father Zeus to grant her eternal virginity. Also, all her companions were virgins. Artemis was very protective of her purity, and gave grave punishment to any man who attempted to dishonor her in any form.
It wasn't until Athena moved to the States that they learned about what it means to be non-binary. At this time, Athena was still constantly being referred to as a girl, something they put up with, despite their discomfort.
Dionysus has been dubbed "a patron god of hermaphrodites and transvestites" by Roberto C. Ferrari in the 2002 Encyclopedia of Gay, Lesbian, Bisexual, Transgender, and Queer Culture. He is referred to as effeminate, which is sometimes linked to his being dressed in girl's clothes during his childhood.
She may not have been described as a virgin originally, but virginity was attributed to her very early and was the basis for the interpretation of her epithets Pallas and Parthenos. As a war goddess Athena could not be dominated by other goddesses, such as Aphrodite, and as a palace goddess she could not be violated.
Artemis is a gender-neutral name of Greek origin that means "twin of Apollo" and "butcher." In Greek mythology, Artemis was the name of the Greek goddess of the moon, hunting, and chastity.
Family. Although she is a virgin goddess, Athena can conceive demigod children by joining her mind with her mortal lovers, which she considers to be the purest kind of love that one could give upon. Her demigod children are "gifts" to the men she favors.
Ares, not always a warrior, was a lover as well. He was known for being the lover of Aphrodite aka Venus, shown with him here, who was married to Hephaestus aka Vulcan, the God of Fire. Seen here with his shield on the ground, Ares is embracing Aphrodite.
The Virgin Goddesses (or maiden goddesses) are Artemis, Athena, and Hestia.
When clouds weren't blocking her view, Artemis gazed down on Orion as he roamed around his deserted island, and she fell in love with him. But there was a problem: The gods could not mingle with the mortals. Artemis knew this but couldn't resist.
Artemis and Aphrodite had a rivalry that was not no secret. Aphrodite hated that Artemis had some people who believed in the virgin goddess who stay single and don't fall in love. So the goddess of love and beauty would target those who follow Artemis and kill or make them fall in love.
While that approach has certainly yielded important information on gender dynamics in late-Classical Greece, it tends to overlook the fact that though this Aphrodite is female, she is also divine.
She had countless affairs with both gods and mortals. The most long-standing and significant of all of Aphrodite's lovers was Ares. But one night, the lovers tarried too long together. As Helius hitched up his golden chariot of the sun, he saw the lovers in Ares' palace in Thrace.
The sharp, gold-tipped arrow pierced the heart of Apollo inflaming his love for Daphne, a beautiful nymph, daughter of the river god Peneus, while the blunt, lead-tipped arrow struck the nymph creating an intense aversion for love in the her heart.
Mythological tales vividly relate Aphrodite's involvement in matters of the heart, and these have contributed greatly to our conception of the goddess as primarily concerned with love and sex. Few were immune to her seductive charms, and Zeus punished her for the many improper unions that she caused.
Aphrodite's Curse is about a dynasty's fall from grace, unrequited love and retribution. A powerful family is brought to ruin, the consequences unforeseen and irreparable. The trouble begins with King Minos who asks the gods for a bull to be sacrificed so that he may become ruler of Kretos and surrounding lands.
Ariadne was faithful to Dionysus. Perseus killed her at Argos by turning her to stone with the head of Medusa during Perseus' war with Dionysus. In the Odyssey, it is told that Artemis killed her.
Yes, you can use Artemis; it is from Greek mythology and impossible to copyright as a name. The Greek for the male versions of this name are Artemas and Artemus, both are listed in The Character Naming Sourcebook (and mean "gift of Artemis"). You violate nothing by using a name already in the public domain.