Answer:
The correct answer is - let no one hear.
Explanation:
If you read the excerpt, you will see that Odysseus says the following:
If son of mine you are and blood of mine,
let no one hear Odysseus is about.
Here, you can see that Odysseus doesn't want anyone to know he is back in Ithaca. He wants it to be a secret so that he can do away with the suitors who are pestering his wife Penelope. If he doesn't want anyone to see or hear him, it is obvious that he wants to take everyone by surprise.
Odysseus has been away from his home of Ithaca for a decade and everyone but his wife thought he was dead. This is why many suitors come to try and marry his wife and inherit his kingdom. However, Odysseus comes back to his family to reclaim what is rightfully his.