She could be very wise. Since she is Kami, she would have a vast amount of knowledge about the ninja world, its history, and the nature of chakra. This wisdom would be passed on to Naruto, guiding him in his journey.
Maybe she is extremely protective. Given her status as a Kami and her relation to Naruto as his 'father', she would want to keep Naruto safe from the many threats in the ninja world. This could lead to her interfering in Naruto's adventures more than a normal father would.
One possibility could be that it completely changes the power dynamics. A female Kami as Naruto's father might introduce a more nurturing yet still powerful figure. She could pass on different types of chakra or special abilities to Naruto in a way that is unique compared to the original story. For example, instead of the more brute - force - like training Naruto might have received in the canon, he could get more spiritual and intuitive training from his 'father' who, being Kami, has a different perspective on power and growth.
Naruto could become more mature and responsible. Knowing he is Kami's son might make him more aware of his role in the ninja world and the greater good. He might also become more spiritual, meditating more often to connect with his divine side.
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.
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.
I'm not sure specifically as there could be many different interpretations in fanfiction. It might be about Naruto having some sort of special connection to kami (gods) and shinigami (god of death) in a made - up scenario, perhaps involving him being related to them in an unexpected way.
In fanfiction, the 'kami' could be an original deity created by the author. This new 'kami' could have its own motives and reasons for giving a gift to Naruto. Maybe it's a kami that has been observing Naruto's journey and decides to interfere to help him achieve a greater purpose. It could be a kami associated with nature, like a kami of the wind or the fire, and the gift could be related to that element.
One possible reason could be to correct some mistakes in the future. Maybe there were some events that led to a really bad outcome, like the destruction of the Hidden Leaf Village, and Kami thought sending Naruto back in time could prevent it. Another reason might be to give Naruto a chance to learn more about his predecessors and gain new powers or knowledge that could help him in his original timeline.
Naruto might be in awe of Fem Kami's power and beauty at first sight. He would probably be respectful but also his usual curious self. He could ask her a lot of questions about her existence and her powers. Fem Kami, on the other hand, might be amused by Naruto's straightforwardness. She could respond with a mix of mystery and kindness, teasing Naruto a bit while also sharing some important information. For example, she might say something cryptic at first and then explain it more fully when Naruto looks confused.
A possible plotline could be that Naruto is chosen by Kami for some greater purpose related to the balance of the world. As a result, they get married. Their union then brings about a new era of peace and prosperity as Naruto uses Kami's power to end all wars. Another plotline might be that Kami falls in love with Naruto's pure heart and determination. She decides to marry him, but they first have to convince the shinobi world that their union is for the good of all.
One idea could be a story where Naruto meets the female Kami by chance during one of his adventures. The female Kami is intrigued by Naruto's unique energy and decides to help him on his journey. Meanwhile, Yami, a mysterious and powerful being, senses the presence of both Naruto and the Kami and decides to interfere. The Shinigami, keeper of souls, also has an interest in Naruto's soul due to his many near - death experiences. They all get entangled in a complex plot where Naruto has to find a balance between the powers and intentions of these different entities.