Final answer:
The Homeric epithet not found in Homer's works, such as the Iliad and Odyssey, is 'Mighty Zeus.' The other options, 'Rosy-fingered Dawn,' 'Swift-footed Achilles,' and 'Wily Odysseus,' all contain traditional Homeric epithets.
Step-by-step explanation:
The phrase that does NOT include a Homeric epithet is "Mighty Zeus." Homeric epithets are descriptive phrases that are repeatedly paired with a person or thing in literature and emphasize a particular characteristic. In the works of Homer, specifically the Iliad and the Odyssey, Homeric epithets are used to describe characters such as with: A) "Rosy-fingered Dawn," B) "Swift-footed Achilles," and C) "Wily Odysseus." Each of these emphasizes a trait or feature of the subject. In contrast, "D) Mighty Zeus" is a simple adjective phrase, but not a traditional Homeric epithet associated with Zeus in Homeric texts; it lacks the unique formulaic characteristic inherent to Homeric epithets.