Well, in such a fanfic, Naruto might gain some extremely powerful and unique abilities. Kaguya being his trainer could mean he'd learn ancient and forbidden jutsus. Maybe he'd also gain a deeper understanding of the chakra and the origin of the ninja world.
Naruto might become more in tune with the Kyuubi's power. He could access more of its chakra easily and use it more effectively in battle. For Hinata, she may gain a new sense of boldness. The training could make her less shy and more assertive in combat situations.
In this fanfiction, Naruto and Hinata might gain unique powers. Since they are trained by the Kyuubi, they could potentially learn to control and utilize the Kyuubi's chakra in new ways. Naruto already has a connection with the Kyuubi, so this training could enhance that bond further. Hinata, on the other hand, might develop more confidence and stronger combat skills, making her a more formidable ninja.
In fanfiction, if Naruto and Hinata were trained by Kurama, they would likely become extremely powerful. Naruto already has a connection with Kurama, and with Hinata by his side, Kurama could teach them new jutsu and ways to better control their chakra. Maybe they would develop unique combat styles that combine Naruto's brute force and Hinata's elegance, making them an unbeatable duo in the ninja world.
One idea could be that Kaguya somehow returns in a new form and Hinata, with her unique Byakugan abilities, is the first to detect her. Naruto then teams up with Hinata to face Kaguya again. They might have to travel to different dimensions, like in the original Kaguya fight, but this time Hinata's skills play a more crucial role in the battles.
Naruto's Rasengan combined with Hinata's Gentle Fist could create a really powerful attack. Maybe Naruto could infuse his Rasengan with Hinata's chakra control, allowing it to be more precise and targeted. And if Kaguya's powers were added to the mix, say her ability to create dimensions, they could use that to their advantage in battle. For example, they could trap enemies in a dimension and then attack them with their combined Naruto - Hinata attack.
One possibility is that Naruto, being neglected by the village, would be full of pent - up anger and a thirst for recognition. Kaguya's training could focus on unlocking hidden powers within him. For example, she might teach him ancient jutsu that no one in the village knows. This could lead to Naruto developing a unique fighting style that combines his Uzumaki heritage with Kaguya's otherworldly knowledge.
Well, Naruto could change Kaguya in the fanfiction by introducing her to the concept of redemption. Given his own journey of facing his inner demons and coming out stronger, he might convince Kaguya that she can atone for her past sins. He may take her on a journey through the ninja world, showing her how people have rebuilt and thrived despite the chaos she once caused. This could make her re - evaluate her actions and change her perspective on the world and her place in it.
If Naruto and Hinata were trained by Darth Vader in a fanfiction, it could be a wild ride. Vader's training would probably focus on physical and mental discipline. Naruto, with his energetic nature, would have to rein in his impulsiveness. Hinata, being more reserved, might adapt more quickly to Vader's no - nonsense approach. They might also be exposed to Vader's use of the Force - like abilities, which could be translated into new and powerful ninja techniques in their world.