One possible reason could be Naruto's independent nature. He has always strived to make his own path and not rely on his father's legacy too much. So in the fanfic, he might refuse Minato to show that he wants to be his own person, not just Minato's son.
In the fanfic, Naruto might refuse Minato because of the pain Minato's absence has caused him in his life. He grew up without a father, facing many hardships. So when Minato shows up, Naruto could be angry and reject him out of all that built - up pain and resentment.
One possible reason could be Naruto's pent - up anger towards Minato for leaving him as an orphan. He might feel that Minato sacrificed himself without fully considering the consequences for Naruto.
One possible reason could be that Naruto has seen the toll the position takes on those who hold it. Maybe he witnessed the stress and loneliness that previous Hokages like his father had to endure. He might want a more carefree life, exploring the world and spending time with his friends and family without the heavy burden of leading the village.
It could also be that the plot of the fanfiction has Naruto in a situation where talking might put him or his loved ones in danger. So, for their safety and his own, he chooses not to talk.
One possible reason could be Naruto's independent nature. He has always been someone who forges his own path. In the Naruto series, he doesn't rely on traditional forms of status or hierarchy. So in the fanfiction, he might refuse peerage because he wants to be recognized for his own efforts and not because of a title.
In fanfiction, Naruto could snap at Minato due to the pressure he feels. Naruto has his own ideals and goals for the village, and if he feels that Minato's legacy or the way Minato is revered in the village is somehow hindering his own path or the changes he wants to make, he might lash out. He may think that Minato's actions, while heroic in the past, are now holding the village back in a modern context.
Naruto's character development includes learning about sacrifice and the importance of bonds. In the fanfic, his refusal of Minato could be a sign that he has outgrown the need for a father figure in the traditional sense. He has formed deep bonds with others like Iruka, Kakashi, and his friends. These relationships have made him strong enough to face Minato and say no if he feels it's necessary for his own growth and the protection of those he cares about.
Maybe in the fanfiction, Naruto has discovered a new family or group of friends outside the village who are in need of his help more urgently. He has to prioritize them over the village that banished him. He could also be trying to teach the village a lesson about the consequences of their actions by refusing to help.
One reason could be that she feels betrayed by Konoha. Maybe she has faced discrimination or unfair treatment there in the past because she's female in a world that might be more used to male ninjas. For example, she could have been passed over for important missions or training opportunities just because of her gender.
One possible reason could be his loyalty to his own village and friends in the Naruto world. He has strong bonds there and wouldn't easily abandon them to join someone in a different fictional context like Rias. Another reason might be the difference in values. Naruto values hard work, friendship, and the will of fire, while Rias's group may have different goals and values that Naruto doesn't align with.
Well, Naruto has had the advantage of learning from many great shinobi over time. He also has a unique bond with his friends which could potentially give him more strength. Minato, on the other hand, had a shorter lifespan to develop his powers. Naruto has had more time to grow and surpass his father in strength.