theio
Ariadne is not specified as a god, or rather a goddess, of anything. Her parents were Minos, son of the god Zeus and the mortal woman Europa, and Pasiphaë, daughter of the god Helios and the sea nymph Perse; therefore, she was only a half-goddess at best. In other renditions, she is stated to be a goddess, but it is only an epithet. In answer to your question, she is associated with the Minotaur's labyrinth, which she was said to be the ruler of.
The Minotaur but he is not a god.
theio
No. He was a monster, not an immortal god.
It is not the sign of the Minotaur. The Bull of Crete (which was, perhaps, white) however, was the father of the Minotaur, it's mother being the goddess Pasiphae, Queen of Crete who wed Minos.
It wasn't a Greek god that defeated the minotaur but it was however a hero named Theseus who defeated him in the Labyrinth.
Ariadne isn't a goddess she was the daughter of Minos the king of Crete.she helped Theseus defeat the Minotaur left after and Theseus abandoned her, but the heart broken princess was promised by Aphrodite that she will soon find love and she did when she met Dionysus the god of wine.
She helped slay a Minotaur and was granted immortality by Artemis.
He was not a goddess but a god. The god of wine.
I think you're asking what a God and Goddess is. A God is a thing or person that you worship, and a Goddess is a female God.
Theseus, unless the Minotaur could survive a stab to the throat. Which it could have, given that it's mother, Pasiphaë was a goddess in her own right as daughter of Helios the Titan sun god, and Perse, a daughter of Oceanus and Tethys.
Zeus is the head of the Greek pantheon; he has no god or goddess. He is a god, the chief god as it were.