One possibility is that they would have a very supportive dynamic. Hinata could gradually become more confident with Naruto by her side, and Naruto would be his usual enthusiastic self, inspiring Hinata to be braver in battles. Their teamwork could lead to some amazing combos against enemies.
In this fanfiction, they might start off a bit awkwardly as teammates. But as time goes on, they discover each other's strengths. Naruto's raw power combined with Hinata's precision and byakugan - related skills could make them a formidable team. They could also develop a deeper emotional bond during their missions together, which could be the start of a romantic relationship.
The story could involve them facing difficult challenges as a team. Maybe they are sent on a mission to a dangerous, unknown land. Naruto would be the one to charge forward, while Hinata would use her observational skills to analyze the situation. They would learn to rely on each other, and Hinata might even save Naruto's life at some point, which would further strengthen their relationship.