Their relationship could develop in a rather interesting way. Hana, as Naruto's servant, would be around him a lot. Naruto would likely share his dreams and goals with her. This would make Hana more dedicated to helping him. She might start training harder to be able to protect Naruto better. And Naruto would gradually rely on her more, not just as a servant but as a friend. Maybe they'd even have some adventures together that would strengthen their relationship.
Well, it could be a story where Hana is somehow magically bound to serve Naruto. Maybe she owes him a great debt and has to be his slave as a result. This could lead to various adventures where Naruto has to protect Hana while she's in this subservient role.
As Naruto's servant, Hana would have a variety of tasks. For daily tasks, she would ensure Naruto is well - fed, so cooking his favorite ramen would be on the list. She would also keep his living space tidy, which is no easy feat considering Naruto's messiness. In terms of his ninja life, she could be the one to organize his mission scrolls and keep track of his appointments with the village elders. Moreover, she might assist in his combat training by being a sparring partner or helping him practice new jutsu techniques in a safe environment.
Perhaps the Twi'lek becomes Naruto's servant due to a debt owed to Naruto. In the Naruto universe, the concept of honor and repaying debts is important. So, the Twi'lek could follow Naruto around, gradually learning about his ninja way. The Twi'lek could also introduce some of their own cultural elements, like unique fighting styles or forms of communication, which Naruto and his friends could incorporate into their own techniques.
Maybe the main antagonist is a dark sorcerer. The sorcerer's goal could be to use Hana's enslavement to Naruto to corrupt Naruto's positive energy. They might believe that by forcing this strange relationship on them, they can turn Naruto towards the dark side. So this sorcerer would constantly try to create more problems between Hana and Naruto.
The story might be about how Mikoto, as Naruto's servant, helps him grow in power. She could train him in ways that the regular Konoha teachers can't. Since she comes from the Uchiha clan, she might have unique knowledge about chakra control and jutsu that she imparts to Naruto. Also, their relationship could develop from a master - servant dynamic to a deep friendship.
One idea could be that in this fanfiction, Fem Gaara is in debt to Naruto for saving her life. As a result, she decides to become his servant. This could lead to many comical situations where Naruto, being his usual clumsy self, has no idea how to handle having a servant. For example, he might accidentally give her tasks that are inappropriate or too easy, and Fem Gaara has to figure out how to deal with it while still maintaining her pride.
Perhaps there is a magical or special circumstance. For example, a spell was cast on Aayla that binds her to Naruto as a servant. In this fanfiction, Naruto might initially be hesitant about having a servant, but as time goes on, they develop a unique relationship. Aayla could use her own skills and knowledge to help Naruto in his adventures, like providing information about certain enemies or places she has been.
Hana could be an original character created for this fanfiction. Maybe she is a new ninja in the village who Naruto falls for, but she has a hidden agenda that ends up breaking his heart.
It's also possible that Hana is related to one of Naruto's friends. Maybe she's Kiba's sister or something. And because of her connection to Naruto's friend, Naruto feels responsible for her safety. So when she's in trouble, Naruto steps in to save her without hesitation.