How can you analyze media's (a woman) character as an amalgam with
Achilles, Odysseus, and hector as a figure of heroic (that is, male)
proportions?

Do you mean the woman usually transcribed as "Medea" - the witch woman
who helped Jason gain the Golden Fleece, had two children by him and
was then betrayed by him and murdered their children by way of
revenge?

If so, in terms of depth of character she can only be compared with
Odysseus, since both Achilles and Hector are rather simplistic warrior
figures. Medea is never a warrior.