It could also be that the maid is from a different clan or place and has a unique perspective on life. Her presence makes Naruto question his own beliefs and ways of dealing with his problems. As they interact more, Naruto finds new ways to cope with his depression and the maid becomes an important part of his life journey.
One possible plotline could be that the maid is sent to Naruto by someone who notices his depression. The maid then tries to bring some order to Naruto's chaotic life, cooking for him, cleaning his place, and gradually, through her kindness and care, Naruto starts to open up and become less depressed.
Another option is Archive of Our Own (AO3). It has a large collection of fan works. Navigate to the Naruto section and then use the search filters to find fanfictions that involve a depressed Naruto being given a maid. You might have to be a bit patient while searching through different tags and summaries.
Another plotline could be that Sakura makes a decision that deeply affects Naruto's life in a negative way. Maybe she chooses to side with an enemy against Naruto's wishes, and this betrayal makes Naruto feel so hopeless that he becomes depressed. In these fanfictions, the writers often explore the complex relationships between the characters and how their actions can have far - reaching emotional consequences on others. There's also a possibility that Sakura's actions cause Naruto to lose his dream or his sense of purpose, pushing him into a depressive state as he feels lost without that driving force in his life.
One possible plotline could be that Rouge discovers Shadow in a state of deep depression. She tries to cheer him up by taking him on adventures, showing him the beauty in the world that he's been missing. Another could be that Shadow's depression is a result of his past traumas, and Rouge, with her understanding nature, helps him face those demons. Maybe they start off as just friends, but as Rouge continues to be there for Shadow, their relationship deepens into something more romantic.
A plotline could also involve Zane being in a downward spiral of depression, pushing away everyone around him including Laurence at first. But Laurence doesn't give up. He continuously tries different ways to reach Zane, like bringing him to places Zane used to love or introducing him to new hobbies. Eventually, Zane starts to open up and their relationship deepens as Zane begins to heal.
A plot could involve Naruto being secretly depressed because he realizes the cycle of hatred in the ninja world may never end. He's fought so hard to bring peace, but new threats keep emerging. He starts to question the purpose of his efforts and falls into a deep depression. He may keep this hidden from others because he doesn't want to discourage them or seem weak, but it slowly eats away at him.
Perhaps in a fanfiction, Naruto discovers some dark secrets about his parents that shatter his world view and send him into a depressive state. Temari, being a friend, comes to Konoha on a diplomatic mission and finds Naruto in this state. She tries to help him by sharing her own experiences of dealing with difficult family situations. However, the more she tries, the more she realizes how deep Naruto's pain is and she herself starts to feel a bit depressed due to her inability to fully help him.
One reason could be that Gaara, being a powerful and complex character, might have a different view on the concept of friendship. If he were to tell Naruto that his friends are only with him out of obligation or because of his status as a hero, Naruto might start to doubt his relationships and become depressed.
A possible plotline could be that Calypso, with her alluring powers, tries to tempt Naruto away from his path of becoming Hokage. But Naruto, with his strong will, resists and instead tries to show Calypso the importance of having a noble goal. Another plotline might be that Naruto and Calypso team up to fight a powerful entity that is causing chaos in both their worlds.
One possible plotline could be Naruto using his new position as a daimyo to bring about political reform in the ninja world. He might try to end the long - standing feuds between different ninja villages by leveraging his power.
One possible plotline could be that Naruto dies during a great battle, like against Kaguya. But his spirit remains because he has some unfulfilled desires, like seeing the village fully at peace. So, as a ghost, he tries to influence the living to achieve that peace.