Odysseus wants to return home but Calypso a goddess doesn't want to let him go because she likes him. Athena helps Odysseus by telling Calypso to let him go and she does. That's when his journey begin.
The metaphor for Odysseus' encounter with Calypso is like being trapped in a beautiful but ultimately unfulfilling paradise. Calypso's island represents temptation and seduction, while Odysseus' longing for his homeland symbolizes the desire for true purpose and belonging. Their relationship is a metaphor for the struggle between temporary pleasure and enduring fulfillment.
Calypso offers immortality to Odysseus
Odysseus met Calypso on her lush island of Ogygia.
Hermes tells Calypso to let Odysseus go.
Calypso
Calypso has the power of immorality over Odysseus.
Hermes is sent down to Calypso, telling her that the gods wish for her to release Odysseus. Therefore, it is Calypso who allows Odysseus to leave, not Odysseus who 'manages to say no.'
Calypso
Calypso and Odysseus become lovers. Calypso offers Odysseus immortality and eternal youth if he would stay with her. Calypso does not aid Odysseus' escape until told to do so, so he seemed trapped on her island without a ship.
Calypso wants Odysseus to stay with her on the island forever.
Calypso
No! Poseidon tries to drown Odysseus during his escape from Calypso. Athena and Hermes assist Odysseus.
Odysseus stays with Calypso [The Hider] on Ogygia for seven years.