Final answer:
Odysseus C) is cursed by the Cyclops, Polyphemus, after revealing his identity. This leads to numerous hardships, created by Polyphemus's father, Poseidon, that impede Odysseus's journey home to Ithaca.
Step-by-step explanation:
After Odysseus reveals his identity to the Cyclops, saying 'Cyclops, if ever mortal man inquires how you were put to shame and blinded, tell him Odysseus, raider of cities, took your eye: Laertes’ son, whose home’s on Ithaca!', he does not kill the Cyclops nor is he killed.
Instead, the Cyclops (Polyphemus) prays to his father Poseidon, the god of the sea, to curse Odysseus. This curse leads to numerous hardships for Odysseus and his men, including shipwrecks, delays, and losses, as Poseidon creates obstacles to Odysseus's return home to Ithaca. The correct answer to what happens after Odysseus reveals his name to the Cyclops is C) He is cursed.