Their relationship might develop in a rather unexpected way. In the supply closet, they could share stories from their pasts. Snape might open up about his time as a student and his relationship with Lily Potter. Hermione, in turn, could talk about her experiences as a Muggle - born witch. This sharing could create a bond between them, changing their relationship from one of animosity to a more complex understanding.
At first, their relationship would likely be tense. Snape is known for his dislike of Gryffindors, and Hermione is a prime example of a Gryffindor student. But being in the close quarters of the supply closet might force them to communicate more directly. They could start to see past their initial prejudices. Maybe Snape would recognize Hermione's intelligence and Hermione would see that Snape has reasons for his cold exterior.
Well, it often starts with a lot of misunderstandings. Snape has his own preconceived notions about Hermione as a Gryffindor student, and Hermione has her own view of Snape as a strict and often unfair teacher. However, as they live together, small moments start to change their relationship. For example, when Hermione is having trouble with a particularly difficult spell, Snape doesn't scold her but instead patiently guides her. This gradually builds trust between them, and they form a unique bond that is different from the typical student - teacher relationship or even a normal father - daughter relationship.
Well, one possible plot could be that Hermione accidentally stumbles into the supply closet while Snape is already there. Maybe she's looking for a particular potion ingredient. They start off bickering as they usually do, but then they discover a hidden magical object in the closet that requires both their knowledge to figure out. This could lead to a grudging respect between them.
In the fanfiction, the relationship may start off with Snape being rather cold and distant towards Hermione as his familiar. However, as Hermione proves herself time and again, perhaps by using her unique skills to solve problems that Snape couldn't on his own, he starts to warm up to her. Their relationship then develops into a more complex one, where they have a mutual respect and a sort of unspoken understanding. This could involve Snape sharing some of his own magical knowledge with Hermione in a way that he would never do with other students, and Hermione in turn, helping Snape with his personal and professional matters, such as dealing with the other Hogwarts faculty or protecting the school from hidden threats.
At first, Hermione might be suspicious of Snape's new - found protectiveness. But as time goes on, she starts to see that he has good intentions. Snape, on the other hand, gradually warms up to Hermione more and more, sharing his knowledge and advice with her.
It's also possible that their interaction would be filled with mystery. Snape has so many secrets, and Hermione is curious by nature. She might try to pry into his secrets, while Snape tries to keep her at bay. This cat - and - mouse game could add an interesting layer to their time in the closet.
The relationship might start off on a rocky note. Snape, being strict, would be angry at Hermione's naughtiness. But as time goes on, he could start to respect her intelligence. For example, if she was naughty by trying to improve a potion in an unorthodox way, he might see her potential.
At first, it would be really rocky. Harry has a history of distrusting Snape, and Hermione might be a bit cautious too. But as time passes, Snape's care for them in his own strict way would start to show. He'd probably be tough on them about their studies, but they'd see it's because he wants them to succeed.
Their relationship could start off very tentatively. Snape would be his usual gruff self, but Hermione would notice his small acts of help. As time goes on, she might start to trust him more and they could develop a sort of mentor - mentee relationship, with Snape passing on some of his more esoteric knowledge of magic to Hermione.
Their relationship could start with suspicion. Snape has always been a bit of an enigma, and Hermione might be cautious. But as she realizes his true loyalty, she could start to respect him more. Snape, on the other hand, might be grudgingly impressed by Hermione's intelligence and bravery.
At first, it would be very rocky. Snape is used to being alone and Hermione is used to being with her friends. But as time passes, they might start to share their interests. Hermione might show Snape some new Muggle inventions that could be useful in potions. Snape could teach Hermione some advanced potions techniques. This exchange of knowledge could lead to a mutual admiration.