Naruto would likely become more confident. Knowing he has the blood of a Greek god in him would give him an extra boost. He might also be more curious about the world outside of the ninja realm, since his Greek heritage would open up new possibilities. His sense of justice could become more intense, as Greek gods often have strong ideas about right and wrong.
Naruto's character would experience a significant transformation. He would no longer be just the underdog ninja trying to prove himself. With his Greek god heritage, he would have a new sense of purpose. He might become more of a leader, not just in Konoha but in the broader world. His values could shift to incorporate some of the Greek values associated with his divine father. For example, if his father was Apollo, he might value art and knowledge more. His appearance might also change slightly, having an otherworldly glow or some physical features that hint at his godly lineage. And his attitude towards his enemies would be more confident and fearless, knowing he has divine powers on his side.
Naruto's relationships would change drastically. His friends might be in awe of him or even a bit afraid. He would no longer be just the goofy ninja they knew. He would have a new level of power and responsibility. And his enemies would be much more cautious around him, knowing that he has the might of a Greek god behind him. His entire personality would shift to adapt to this new status, while still retaining some of his core ninja values.
Naruto would likely be more cunning. Since Orochimaru is known for his devious ways, Naruto might inherit some of that. He could be more calculating in battles rather than just relying on brute force. However, he would still have his core of kindness. So, it would be an interesting mix of Orochimaru's slyness and Naruto's big - heartedness.
The plot might be centered around Naruto's discovery of his Greek god heritage. It could start with some strange events that he can't explain with his normal ninja knowledge. As he delves deeper, he finds out that he is the son of a Greek god. This would then lead to him being trained in a different way, perhaps by some mysterious figure sent by the Greek gods. His relationships with his friends in Konoha would also change as they try to understand his new powers and identity.
Naruto as a god in the fanfic could be more confident and less impulsive. His new powers and status may give him a sense of calm and wisdom that was lacking in his younger self. He may make decisions more rationally, thinking about the long - term consequences for the entire world rather than just his immediate surroundings.
Apollo could be a likely candidate. Apollo is the god of music, prophecy, and healing. Naruto's strong sense of justice and his ability to inspire others could be seen as traits inherited from Apollo. Also, Naruto has a certain charm that could be related to Apollo's association with the arts. And if Naruto had some healing abilities from Apollo on top of his own ninja skills, it would make him even more of a valuable asset in battles.
His story would change drastically. He'd have different powers. For instance, if he was related to Poseidon, he could control water in ways he couldn't before. This would give him an edge in battles and change how he approaches combat in the ninja world.
Naruto could also become more powerful but in a different way. His chakra might be tainted with a touch of the demonic, giving him new abilities that are both a blessing and a curse. He has to learn to control these new powers, which might make him seem more withdrawn as he trains in isolation to avoid hurting others accidentally.
He might become more devious. Instead of his straightforward, head - on approach, he could start using more underhanded tactics, like Loki. For example, he may set up elaborate traps for his enemies rather than just fighting them directly.
Naruto could become more empathetic. Since Hestia is often associated with warmth and care, he may inherit some of those traits. So, instead of just being the loud and brash Naruto we know, he might be more in tune with the feelings of others, especially those who are suffering or in need. This could change the way he forms relationships in the Naruto world, and he might be more likely to offer a helping hand even to his enemies under certain circumstances.
He would likely become more in tune with nature. Since Artemis is associated with nature and the hunt, Naruto might have a deeper respect for the natural world. He could be more stealthy, like a hunter, and his combat style might incorporate more fluid and quick movements similar to how one would move while hunting. Also, his values might shift a bit, with a stronger emphasis on protecting the natural balance.