She realizes that she can't make him happy. She thinks that she's pretty, she promised him immortality, and she provides him with food, shelter, and care. But he is not satisfied because he misses Penelope too much.
Calypso allows Odysseus to leave her island after Athene asks Zeus to tell Calyspo that if she doesnt allow Odysseus to leave her island that if she doesnt that Zeus will strike her with a thunderbolt and kill her as he is not a prisoner to her island and need to get home to be with Penelope (his wife). Zeus sends Hermes the messenger God to tell Calypso. Although Calypso is furious and doesnt want Odysseus to leave, she lets him because obviously she doesnt want to die so she helps him build a raft and gives him gifts for his journey home.
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.'
Hermes tells Calypso she must let Odysseus go.Calypso helps Odysseus build a raft to leave the island.
because the goddess Athena calls a council of the gods at Olympus and convinces Zeus to let Odysseus return. The gods then send Hermes as messenger to bring the news of Zeus's will to Calypso who reluctanly agrees to let Odysseus go.
He stays so long because of her sexual seduction and he has not ship to leave on and Calypso will not help build him a ship. Until Zeus convinces her to allow him to leave that is when she supplies Odysseus with thing to make a raft but she doesn't help him build it.
on a raft of trees
Because she was in love with him.
Zeus sent Hermes to order Calypso to free Odysseus and send him on his way home. Calypso greeted Hermes and honored him with ambrosia and red nectar. He told her of Zeus' demands as they ate. She was upset that Zeus would ask her give up her lover but she did not refuse. If Odysseus wanted to stay with Calypso then Zeus would permit it, but if Odysseus wanted to leave, Calypso could not use her charms to stop him. She thought that Odysseus might change his mind if he understood her love and power. She offered Odysseus immortality and endless youth but he was determined to return to his home or die trying. Calypso accepted her fate and agreed to let Odysseus leave unhindered. She refused to supply Odysseus with a raft or ship but she gave him some tools and the skillful Odysseus built a raft for himself. When it came time to leave, Calypso in her loving nature, gave Odysseus provisions and sent him on his way with a fair wind to speed him home. Calypso and Odysseus had two daughters, Nausithoos and Nausinoos.
Odysseus wants to leave Calypso and her island because he wants to go home to Ithaca. After the Trojan war, his ship was tossed off course and he has been trying to finish his journey since.
an axe and adze
She sensed she would have to let Odysseus leave.
Circe and Calypso kept Odysseus from reaching home in very different ways. After Odysseus conquers the goddess-enchantress Circe she helps him . She is an excellent hostess and lover to Odysseus and his men have to convince him to leave. Calypso falls in love withe Odysseus and keeps him captive until Hermes convinces her to let him free.