There is no mention of a compass in Circe's gifts to Odysseus.
Circe told Odysseus how to reach the Underworld.
Scarf
Circe knows who Odysseus is because she is a goddess-enchantress. She has the gift of fore sight and sees who Odysseus is right away. She also give Odysseus prophesies that help him reach home.
In Homer's "The Odyssey", Odysseus receives directions on how to get to Hades from the goddess, Circe. In order to get Tiresias to answer his questions about what fate awaited him in the future, he had to take an offering of a ram.
circe sends odysseus to the underworld
Circe turned Odysseus' men Into swine.
Hermes warned Odysseus about Circe's magic.
Circe turns Odysseus' men into swine.
Circe was opening the door of her estate for Odysseus.
Hermes gave Odysseus several things: 1. A chance at escaping back to Ithaca when he tells Calypso to free Odysseus. 2. A sprig of Moly to resist Circe's magical charms. 3. Advice to Odysseus on how to defeat Circe.
Odysseus' crew men ask Odysseus to leave Circe's island after a year on her island.