In such a fanfic, Naruto might gain some really unique powers. Maybe he could learn to control nature in a more divine way. For example, he could make plants grow instantly to use as cover in battles, like creating a forest out of thin air. His physical strength could also be enhanced in a special way that is different from normal training. And his understanding of the ninja world might be deeper as Kami could give him insights into the origin and purpose of ninjas.
His abilities would be enhanced greatly. He could have better chakra control. For instance, he could use chakra more efficiently and might be able to perform jutsu with less effort. His physical abilities like strength, speed and agility would also improve. He could run faster than normal ninjas and jump higher.
Well, Naruto would probably become extremely powerful. Kami has great power and knowledge. With Kami's training, Naruto might learn some really unique and powerful jutsus. His understanding of chakra could reach a whole new level.
Perhaps it could be a female version of an existing kami from Naruto lore. For instance, a female counterpart of the Sage of Six Paths. She would have vast knowledge and power, and her training of Naruto would be a way to pass on that ancient wisdom and strength.
He might gain enhanced chakra control. Since Kami is a powerful entity, Naruto could learn to manipulate his chakra in ways he hadn't before, like creating more complex jutsus with less effort.
In the 'naruto trained by fem kami fanfiction', perhaps the fem kami sees Naruto's potential and decides to train him secretly. She might introduce him to new realms of chakra control and spiritual awareness. This training could involve Naruto having to face otherworldly challenges that are far beyond what he's used to in the Hidden Leaf Village. It could also lead to Naruto having a different perspective on the ninja world as a whole, since he's being trained by a being from a different plane of existence.
In a fanfiction where Naruto and Hinata are trained by Kami, there are numerous possibilities. For Naruto, he could receive insights on how to achieve a new level of Sage Mode or even something beyond. Hinata, on the other hand, may be shown secrets about the Hyuga clan that were long forgotten. They would both grow in strength and character. Their relationship might also evolve in a different way as they support each other during this intense training. This training by Kami would likely put them in a position to face much stronger foes in the future of the fanfiction.
He becomes more patient. Kami's training likely involves a lot of self - reflection and inner - peace - seeking, which forces Naruto to slow down and think more before acting. This newfound patience helps him in both combat and his relationships with others.