Final answer:
In Homer's Iliad, Odysseus leads the mission to return Chryseis to her father and appease the god Apollo.
Step-by-step explanation:
The passage in question appears to derive from classical Greek literature or mythology, particularly in referring to figures like Chryseis and Apollo. The text provided, however, contains information related to Greek plays and mythology but does not specifically answer who leads the mission to return Chryseis and appease Apollo. In Homer's Iliad, the leader of the mission is Odysseus. He is sent by Agamemnon to return Chryseis to her father and thus appease the god Apollo, who has been sending plagues upon the Greek army because Agamemnon refused to release Chryseis.