Well, it can make the plot more exciting. Since he's so lucky, there are always unexpected twists. For example, if he's in a tough mission, his luck might lead to finding shortcuts or secret passages that no one else knew about, which would then change the whole direction of the mission and the story.
Naruto's extreme luck can also influence the relationships in the plot. His lucky encounters might lead him to meet characters he otherwise wouldn't have. These new relationships can create new sub - plots. For example, he could meet a powerful healer by chance, and this healer could become an important part of his team later, changing the power dynamics and the overall plot.
One example could be that he always stumbles upon hidden jutsu scrolls by pure chance. Like he might be exploring an old, forgotten cave and just happen to find a super rare and powerful jutsu scroll that gives him an edge in battles.
The extreme regeneration in the fanfic could lead to some really interesting plot twists. Naruto could potentially be captured more often as the enemies might think they can keep him subdued. But then he regenerates and turns the tables. It would also affect the power balance in the ninja world. Other characters might start to envy or fear his new ability, causing new alliances and rivalries.
It can drive the plot forward in many ways. His luck often leads to new opportunities for growth and power - ups. For example, if he finds a special item by luck, it might unlock a new ability for him, which then changes the direction of the story as he has to learn to control this new power.
In lemon fanfiction, Naruto might be extremely lucky in getting special powers or unique opportunities. For example, he could stumble upon a hidden ancient jutsu that gives him an edge in battles, or he might be lucky enough to have the support of powerful and unexpected allies who help him out of tough situations.
Divinity can greatly affect the plot. If a character has divine powers, it can change the power balance in the story. For example, if Sasuke gains divine powers in a fanfic, his battles with Naruto will be much different. It can also introduce new conflicts, like other characters fearing or trying to control the divine - powered character.
In terms of the overall plot, it might change the direction of the story towards more exploration of his ability's origin. Maybe there are some dark secrets behind it that could be a major plot twist. And it could also affect the power balance in the ninja world, causing other villages to either fear or try to ally with Konoha because of Naruto's overpowered regeneration.
It can introduce comedic elements. Naruto is not very good at acting like a girl at first, so his clumsy attempts at femininity can make for some really funny scenes. For example, he might trip while trying to walk in a girly way or use the wrong tone of voice. This light - heartedness can break up more serious parts of the plot.
His loss of temper might also lead to him making hasty decisions. In fanfiction, Naruto might rush into a fight without thinking things through when he's angry. This could put him and his friends in more danger than they were originally in, and the rest of the plot could revolve around how they get out of this mess he's created. It also gives a chance for other characters to grow as they try to calm him down or deal with the consequences of his actions.
Well, it can completely change the direction of the plot. For example, if the kit gives Naruto some extra powers, he might be able to take on stronger enemies earlier. So battles and conflicts would be different.
The overall mood of the fanfiction can shift to a more somber or angsty one. The other characters in the story will also be affected. They might be divided in their opinions about Hinata's decision, some supporting her and some condemning her, which can create conflict and further develop the plot.