One of the major themes that he portrays is that temptation can befall any man, even Odysseus. Homer has definitely encompassed the temptations of women through this epic poem.
The overarching theme of The Odyssey is the belief that man cannot escape the destiny which has been preordained for him by the gods The hero and his crew are constantly tempted to betray the will of the gods.
He responds by picking up two of the crewmembers smashing them on the rocks like puppies and eating them limb-by-limb.
Like this sample? I found in my reading of the Odyssey that most of the trials the gods place upon him are readily faced with heroic means. You can use our samples for citation or inspiration, no more than that.
Penelope and Odysseus used their cunning to deceive the suitors and remain faithful to each other, even when the odds are against them.