In such a fanfiction, Naruto might gain divine powers. Since Kami is a powerful entity, Naruto could be trained in ways that are far beyond what he learned in the ninja academy. He might also have a different perception of the world and his place in it, seeing things from a more god - like perspective.
Maybe it's a completely new and unknown kami. A kami created specifically for this fanfiction. This kami could have unique powers and a different view of the ninja world compared to the existing characters in Naruto. It would add a fresh and exciting element to the story.
In a 'naruto adopted by kami fanfiction', perhaps the kami takes Naruto to a different dimension where he trains in secret. There, he learns unique jutsu and fighting styles. When he returns to the Naruto world, he surprises everyone with his newfound abilities and a more confident attitude. He might also use his connection with the kami to bring peace to the ninja world.
Well, if Naruto were to obtain a bloodline from Kami in a fanfic, it would be a huge game - changer. His physical and mental capabilities could skyrocket. He could have new jutsu that are on a whole different level, perhaps being able to heal at an accelerated rate or even have some sort of spiritual connection that allows him to foresee events. It would also likely cause a stir among the other ninja, who would either be in awe or fear of his newfound powers.
It could be a doujutsu that allows him to see the future in fragments. So he can get glimpses of his opponents' next moves or potential threats in the near future.
If he wishes for peace, the entire political structure of the ninja world would change. There would be no need for the hidden villages to constantly be on guard against each other. This could lead to a more unified ninja world where resources are shared, and everyone can progress together.
The doujutsu from kami might also grant Naruto new offensive capabilities. It could potentially allow him to use some sort of energy projection or manipulation that is unique to this doujutsu. For example, he could fire beams of spiritual energy that can disrupt an opponent's chakra system.
Maybe it's an existing character from Naruto who has been elevated to Kami status. For example, Tsunade could be turned into a Kami, and Naruto's relationship with her could be a very different dynamic from their previous ninja - leader relationship. Or it could be Kaguya, who was already a very powerful being, and in this fanfiction, she reforms and becomes a Kami and Naruto's wife.
One interesting plot could be that Naruto is adopted by a powerful and kind shinobi from another village. This new family could teach Naruto different jutsu and a new way of life, changing his perspective on the ninja world. For example, if he's adopted by a Waterfall Village shinobi, he might learn their unique water - based techniques.