In the 'Naruto adopts Fuu' fanfiction, the story's progression would likely be centered around their relationship. At first, Fuu might be a bit hesitant or scared in this new environment. But Naruto would be there to comfort and guide her. As time goes on, they would form a strong bond. Fuu could start to attend the Ninja Academy, make new friends, and learn more about the ninja world. Naruto would be involved in her growth, teaching her not only ninja techniques but also important life lessons. Their story could also involve going on missions together, where they'd rely on each other and their combined skills to succeed. And as Fuu becomes more integrated into the village, she might also have an impact on the village itself, perhaps bringing new ideas or ways of thinking.
The story might progress with Fuu adapting to the Leaf Village's lifestyle.
The story could progress as Fuu starts to learn from Naruto. She might pick up his positive attitude and determination. As she trains with Naruto or his friends, she'd grow stronger and more confident. Also, the relationship between Naruto and Fuu would deepen, and they'd face various threats together, whether it's from other villages or internal problems in the Leaf Village.