The crossword solution for the term 'Odysseus Tempter' is 'SIREN', which is a mythical creature from Greek mythology. The SIREN was a creature with the head of a woman and the body of a bird, who lured sailors to their death with her beautiful singing voice. Odysseus encountered the SIREN during his journey home from the Trojan War, and was able to resist her temptation by having his crew plug their ears with beeswax and tie him to the mast of the ship.