Ami could potentially be someone with a special ability or connection to Naruto. Maybe she has some knowledge that is important to the village or to Naruto personally. That's why Naruto is so determined to save her from the fire ball. It's also possible that she is related to one of Naruto's friends or mentors, and that's what draws Naruto to her rescue.
Well, in most cases, Naruto might use his signature jutsu like the Rasengan. He could either deflect the fire ball with it or use his incredible speed to get to Ami before the fire ball hits her. Maybe he also uses his shadow clones to create a distraction for the attacker while he rescues Ami.
Naruto has a lot of skills at his disposal. He could potentially summon Gamabunta, the giant toad. Gamabunta could take the hit of the Fire Ball for Ami. Or Naruto might use his shadow clone technique. He could send a bunch of clones towards Sasuke's Fire Ball, and the combined force of the clones could either absorb or redirect the Fire Ball away from Ami.
Well, Naruto is known for his quick thinking. So perhaps he quickly assesses the situation and uses the surrounding environment to his advantage. For example, if there's a water source nearby, he could use his water jutsu skills (if he has them in that fanfiction) to counter the fireball and save Ami. Or he might even use his body as a shield if it comes down to it, relying on his Uzumaki durability.
One consequence could be that Ami becomes deeply indebted to Naruto. This could lead to a strong friendship or even a romantic relationship depending on the nature of the fanfiction. She might also become a valuable ally to Naruto in future battles or challenges he faces.
Sasuke might feel frustrated. His attack was thwarted, and he may see it as a sign of his own weakness compared to Naruto. This could fuel his desire to get stronger even more, leading to him seeking out more intense training or even darker powers.
A common theme is friendship. Since Naruto is known for his ability to make friends, in fanfiction with Ami, their friendship often forms the core of the story. Another theme is growth. They both grow as characters, learning from each other's strengths and weaknesses.
One consequence could be a change in the relationship between Naruto and Sasuke. Sasuke might become more enraged or, on the other hand, he could start to question his actions. As for Naruto and Ami, their bond might grow stronger. Ami would likely be very grateful to Naruto, and this could lead to a closer friendship or even something more in the future of the fanfiction.
Well, if Naruto saves Hinata from Orochimaru in a fanfic, it might start with Hinata being captured by Orochimaru's minions. Naruto would immediately go on a rescue mission. He'd probably fight through Orochimaru's various snake - based defenses. And when he finally reaches Hinata, he'd defeat Orochimaru with a powerful Rasengan, and then carry Hinata to safety.
One interesting Naruto ami fanfiction could be about Naruto and his friends going on a new adventure in a mysterious land not shown in the original series. For example, they might encounter a new type of chakra - based magic that they have to figure out how to use. Another could be a story where Naruto has to face an old enemy who has come back with a new power, and he has to rely on his friendship with Ami to overcome it. And there could also be a fanfiction where Naruto and Ami travel through time and meet the previous Hokages in their prime.