In "The Odyssey," the conflicts that Teiresias describes for Odysseus are ultimately significant to the overall theme of the story, but they most directly relate to the idea of illustrating the challenges of homecoming.
Teiresias provides Odysseus with prophetic insights that highlight the obstacles he will face on his journey back to Ithaca. These conflicts are not only physical challenges but also emotional and moral ones that Odysseus must navigate in order to return home. The trials he faces, including confrontations with mythical creatures, temptations, and the wrath of the gods, all serve to underscore the difficulties inherent in his quest for home, safety, and reuniting with his family.
Thus, while the other themes you mentioned—fate, divine influence, and the consequences of arrogance—are certainly present in the narrative, the specific challenges that Odysseus confronts as foretold by Teiresias strongly emphasize the overarching theme of the struggle and complexity of his homecoming journey.