Another reason might be related to a plot device in the fanfiction. The author could be using the loss of the mask to create a turning point in the story. It might lead to new relationships being formed or old ones being tested. For instance, his friends might react in different ways when they see his face without the mask, and this could drive the story in different directions.
The fem Kyuubi might feel a sense of protectiveness. Seeing Naruto without his mask could make her realize how vulnerable he is. She may then use her powers to safeguard him from any potential threats that could take advantage of his exposed state.
If Naruto loses his mask in this fanfiction, it might change the power dynamics. His identity being more exposed could make him a target. The fem Kyuubi might have to step up and use her powers to protect him. This could lead to a closer bond between them, and they might start to rely on each other more in the face of new threats.
He might become more confident. Without the mask, he no longer has something to hide behind, and this new - found openness could boost his self - assurance.
His friends would be affected. For example, Sasuke might see Naruto in a new light and realize that they are more similar than he thought, both having their own inner struggles. Sakura would also be more empathetic towards Naruto and might try to be a better friend, offering more emotional support.
Iruka - sensei could be one of those who help Naruto. He has always been like a father figure to Naruto and would offer emotional support. Rock Lee could also be a great helper. Lee, who has trained his body to be extremely powerful, could teach Naruto some physical combat techniques that don't rely on eyesight. And of course, the Nine - Tails inside Naruto might also play a role. It could potentially share some of its power or knowledge to help Naruto deal with his new situation.
One possible consequence could be a change in his fighting style. Without his eye, he might have to rely more on his other senses like hearing and smell, similar to how blind ninja in the Naruto universe adapt. For example, he could focus more on using his chakra to sense the movements of his opponents.
Naruto might also go through an identity crisis. His whole life has been centered around being a ninja with chakra and using powerful jutsu. Losing his chakra could make him question who he is and what his purpose is. He would have to redefine himself and find a new way to contribute to the ninja world. This could be a long and difficult process for him.
Maybe he starts to train with one - armed techniques. He could learn from other one - armed ninjas if there are any in the fanfiction world. His friends would also play a big role. They might encourage him to keep going or help him in his training.
It could be part of a plot device in fanfiction. The author might want to explore a different side of Naruto's character. By having him drop his mask, they can introduce new storylines, like how the other characters react to this new, more 'exposed' Naruto, and how it affects the overall dynamic in the Naruto - verse.