Naruto would gain better combat awareness. Kurama's experience in battles can be passed on to Naruto. He'll be able to read his opponents better, know when to attack and when to defend. This will make him a more formidable opponent in combat situations.
Well, Kurama might train Naruto by teaching him how to better control and access chakra. Since Kurama has a vast amount of chakra, it could show Naruto unique ways to harness and use it. For example, it could guide Naruto in creating more powerful and complex jutsu by using their combined chakra in a more efficient way.
In such a fanfiction, Naruto might gain unique and powerful abilities. Kurama could teach Naruto more efficient ways of using chakra, like advanced chakra control for his shadow clones. This could make Naruto's clones stronger and more versatile in combat.
Another interesting plot might be that the female Kurama reveals to Naruto secrets about his family. Maybe there are hidden connections between his family and the origin of Kurama. This would add a whole new layer of mystery and depth to Naruto's character development.
Well, Naruto might gain new and powerful jutsu. Kurama could teach him some unique chakra control techniques that no one else in the village knows. This would make Naruto even more formidable in battle.
In this kind of fanfiction scenario, Naruto might gain some unique powers and skills. He could learn advanced chakra control techniques that are specific to the future version of Kurama's knowledge. Maybe he would also have a different perspective on his ninja way, as the future Kurama might have different insights based on events that haven't occurred in Naruto's time yet.
The plot could involve Kurama teaching Naruto how to use his own chakra more efficiently. Since Kurama is a powerful source of chakra, he can guide Naruto on how to tap into his inner strength. Maybe Naruto starts to show extraordinary abilities in front of the villagers even before the academy, which causes both fear and admiration. This early training could also lead to Naruto having a different attitude towards his studies at the academy as he already has some skills.
In this kind of fanfiction, Naruto might gain unique powers. Since Kurama is a powerful being, being trained by a female Kurama could lead to Naruto having a different combat style. He may learn more about chakra control in a new way. For example, he could develop a special jutsu that combines his own natural abilities with the knowledge imparted by the female Kurama.
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.
Naruto would become more confident. With Kurama's training, he'd know he has more power and skills at his disposal, so he'd face challenges with less hesitation.
Naruto's confidence would surely grow. With Kurama's training, he'd feel more in control of his power, which would boost his self - assurance.