Well, in fanfiction, the idea of Kyuubi protecting Naruto often stems from the bond they share. Naruto is the host of Kyuubi, and over time, they develop a sort of understanding. So when it comes to protecting Naruto, Kyuubi could be using its chakra to boost Naruto's power, or directly interfere when Naruto is in mortal danger. For example, if Naruto is facing an enemy that is too strong for him alone, Kyuubi might step in and use its own unique abilities like the Tailed Beast Bomb to drive the enemy away. Also, Kyuubi's presence inside Naruto can act as a deterrent to some foes who know the power of the nine - tailed fox.
It could be Orochimaru. He's always been after power and Naruto's unique abilities would be very appealing to him. So the fem Kyuubi would have to constantly be on guard against Orochimaru's schemes.
In this fanfiction, perhaps the fem Kyuubi protects Naruto by leading him to hidden places in the forest that are safe from the reach of his foes. She might use her knowledge of the area, which she has gained over the years of being in the Naruto world, to find these secret spots. And along the way, she could also teach Naruto some new skills or give him insights about his own powers that he hadn't considered before.
In a fanfiction where Naruto protects Ayame, it could be an exciting adventure. Maybe Ayame is in danger from rogue ninjas. Naruto, with his strong ninja skills and determination, jumps in to safeguard her. He might use his shadow clone jutsu to confuse the enemies and then his Rasengan to defeat them, ensuring Ayame's safety.
Yes, in some fanfictions, Naruto is often depicted as the Kyuubi or having a very close connection to it. This can lead to really interesting and unique storylines that deviate from the original plot.
One common plotline is the Kyuubi teaching Naruto new and powerful jutsu. Since the Kyuubi has a vast amount of chakra and knowledge, it could share unique techniques with Naruto that are not part of the regular ninja training. Another plotline could be the Kyuubi's influence on Naruto's relationships. For example, some fanfictions explore how Naruto's connection with the Kyuubi affects how his friends and villagers perceive him. It can also lead to some interesting character development as Naruto has to learn to control the Kyuubi's power without being consumed by it.
In many Naruto fanfictions, Naruto might have developed some new and unique abilities that the Kyuubi has no defense against. This could make the Kyuubi, which is used to being a dominant and feared force, feel vulnerable. For example, if Naruto has the power to nullify the Kyuubi's chakra or to manipulate it in a way that goes against the Kyuubi's will, it would be a cause for fear.
I'm not sure if there's one that's extremely well - known specifically titled like that. However, there are many Naruto fanfictions where fox - related elements play a protective role. You'd have to search through fanfiction platforms to really find out if there's one that stands out with that exact title or concept.
Maybe it's because Naruto has some sort of special connection or resemblance to the Kyuubi that Kushina notices. For example, Naruto might display some of the Kyuubi's power characteristics in an obvious way that makes Kushina jump to that conclusion.
At first, Naruto might see the Kyuubi as just a source of power. But as he starts to protect it, he realizes it's more of a partner. Their relationship evolves from a simple user - power source dynamic to a deep - seated friendship. He begins to understand the Kyuubi's emotions and past, which further cements their bond.