His relationship with his sensei, Kakashi, would change significantly. Kakashi would be more cautious around Naruto, not fully understanding the implications of his new vampire state. At the same time, he would try to guide Naruto in controlling his new powers. Naruto would look to Kakashi for help but also feel a sense of isolation as he realizes he's different from the other ninjas. And his friendships with the other Konoha 11 would be strained. They might be afraid of him, or he might push them away to protect them.
His relationship with Sakura would be very different. Instead of the old friendship/romantic tension, Sakura might be initially afraid of him as a vampire. She would have to overcome her fear and see that Naruto is still the same person inside. His relationship with Sasuke could also be strained. Sasuke might see Naruto's transformation as a sign of weakness or a new threat.
In terms of relationships, Naruto's transformation into a vampire would have a huge impact. His friends in Team 7 would be thrown into confusion. Sakura might try to find a way to 'cure' him at first, which could strain their relationship. Sasuke might see Naruto's new state as a sign of weakness or an opportunity to gain power. Naruto's relationship with the Hokage, whether it's Tsunade or someone else, would also change. The Hokage would have to decide how to handle a vampire - ninja in the village, whether to keep it a secret or make it public. And Naruto would have to deal with the emotional turmoil of potentially losing the trust and closeness of those he cares about.
His relationship with his friends would likely become more strained. They might be afraid of him or he might be afraid of hurting them. For example, his best friend Scott, who is also involved in the supernatural world, might be worried about Stiles losing his humanity.
Naruto's relationships would be turned upside down. His close friends like Kakashi would be worried about him. They might try to find a way to reverse the effects of the bite. Meanwhile, Naruto himself might feel isolated because he's different now. He might also attract the attention of other vampires or vampire hunters, which would put his friends in danger and further complicate his relationships.
Well, in terms of his relationship with Sasuke, it could go either way. Sasuke might see Naruto's transformation into the Kyubi as a challenge to his own power and strive to become stronger. Or, he could be intrigued by this new form of Naruto and consider teaming up with him again. Regarding his relationship with the villagers, those who once feared him for having the Kyubi inside him might now fear him even more in his Kyubi form. However, some of the younger generation might look up to him as a symbol of strength. And his relationship with Hinata would also be affected. Hinata might be more determined to protect Naruto, but also feel a bit inadequate compared to his new - found power.
In terms of his relationship with the villagers, those who once bullied him for being an orphan and having a different look (with his blond hair) might be even more hostile if his red hair makes him stand out more. However, there could also be some villagers who see his red hair as a sign of something special and start to respect him more, which could lead to a shift in how Naruto views the village and his place in it.
His relationship with Sakura would change a lot. Sakura might be more protective of Naruto as a cat, seeing him as a cute and vulnerable creature. She might take on a more motherly role towards him. With Kakashi, Kakashi would probably be amused by Naruto's cat form at first, but then he'd start to worry about how to turn him back. And as for his friends in general, they'd have to communicate with him in different ways, like through body language and meows.
His relationship with Sasuke would be greatly affected. Sasuke might see Naruto as a completely different person now that he has become the Nine - Tails. There could be a sense of fear or at least a new level of caution from Sasuke. They might have to re - establish their bond, as Naruto's new form could be a threat in Sasuke's eyes.
Naruto's relationship with the younger generation would be very different. As a Jounin, he would be a role model. The kids in the village would look up to him even more. He could inspire them to work hard. His relationship with Hinata might also evolve. Maybe he would finally have more time to focus on their relationship now that he has achieved a higher rank and more stability in his ninja career.
With Iruka, I think Iruka would be very protective. He already cares about Naruto, and the wings would just make him more concerned for Naruto's well - being. As for Sakura, she might be a bit shocked at first but then would see it as just another part of Naruto and continue to have her normal feelings for him. With Kakashi, he would probably be very interested in how Naruto could use the wings in combat and training.