Odysseus was shipwrecked, and had no way of getting home. She did not help Odysseus get home until she was told to by the Gods.
Calypso is the last one to keep Odysseus against his will on her island. The name of the island Calypso kept Odysseus on was Ogygia.
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.
She loves Odysseus and wants to keep him on her island, but Zeus wants her to let Odysseus go.
No one, Calypso wants him to stay because she likes him.
Calypso wants Odysseus to stay with her on the island forever.
Odysseus met Calypso on her lush island of Ogygia.
Calypso
Initially, it was to nurse Odysseus back to health after finding him shipwrecked. Afterwards, she had her way with him. Calypso was in love with Odysseus, and wanted to keep him on Ogygia.she keeps him because she wants him to be her husband and promises to make him immortal
Calypso
Calypso offers to make Odysseus immortal and forever young if he will stay with her on her island. Odysseus respectfully refuses her offer.
Calypso does.
Calypso