She could start off as a bit of a spoiled brat, used to all the perks of having a godlike father. But then, through a series of events like being kidnapped or facing a real threat to the village, she realizes she needs to grow up. So she starts training hard and becomes more independent.
She could be a very determined person. Growing up with Naruto as her father, she would have heard all about his struggles and achievements. So, she would likely strive to be as great as him. Maybe she'd be a bit of a rebel too, since she's not growing up in the traditional Konoha environment.
She might have the ability to use the Rasengan in a new way, like infusing it with Byakugan - enhanced chakra control. This would make it more powerful and precise.
She could have the power of the Nine - Tails like her father. Since Naruto has a strong connection with the Nine - Tails, it's possible that this power is passed down to his daughter. Maybe she can control the chakra of the Nine - Tails more easily and use it for powerful jutsu.
Another possibility could be Sakura. Although she was in love with Sasuke, in some fanfictions, the storylines can be altered. Sakura is a strong and intelligent character, and she could potentially have a daughter with Naruto in a different narrative where their relationship develops in a new way.
She is often portrayed as a strong - willed character. Since she has Naruto and Hinata as her parents, she inherits their best traits. For instance, she might have Naruto's determination and Hinata's kindness. In some fanfics, she's shown to be a natural at ninjutsu, quickly picking up new techniques.
I'm not sure if there is such a specific fanfic. It seems like a very creative and unusual concept. Naruto is from the Naruto universe which has its own set of lore and characters, and Apollo is from Greek mythology. Combining them in such a way would be quite a departure from the original Naruto story.
Yes, there are some fanfictions with this concept. It's an interesting twist on the original Naruto story. In these fanfictions, the relationship dynamics are completely different. Naruto being Minato's daughter would change how she (as Naruto) interacts with other characters like Sasuke and Sakura. For example, Minato might be more protective in this scenario, and Naruto's journey as a kunoichi could have different challenges and developments compared to the original story where Naruto is male.
Yes, Kaguya's daughter can be a major character in Naruto fanfiction. In many fanfictions, she can be used to explore different plotlines, such as her relationship with other characters from the Naruto universe. She might also be given unique powers or abilities that are different from what we see in the original series, which can add new and exciting elements to the story.