Perhaps she was poisoned. There are many dark potions and substances in the wizarding world. It's possible she accidentally ingested something or was targeted by an enemy. Snape, being a master of potions, would be the most likely person to figure out the antidote and heal her.
Well, in some fanfictions, Snape might use his advanced potions knowledge. He could brew a special healing potion for Hermione. Maybe it's a modified version of a known potion, like the Essence of Murtlap that has strong healing properties.
Well, one possible scenario could be that in the fanfiction world, there are dark wizards or forces targeting Hermione for her knowledge or power. Snape, with his skills and knowledge of the dark arts, could use his magic to shield her from attacks. For example, he could set up protective spells around her when she is studying in the library or traveling around Hogwarts.
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One possible plot could be that Hermione is facing extreme pressure from her studies at Hogwarts. Snape, despite his usual gruff exterior, notices her distress. He might start by giving her some advice on potion - making, which is his area of expertise. For example, he could subtly guide her on how to improve her Felix Felicis brew. This small act of kindness could be the start of their unique bond, where Hermione gradually finds comfort in Snape's no - nonsense approach.
Snape's brooding and mysterious personality might work in Hermione's favor. His intimidating presence alone could deter some of her enemies. People in the wizarding world might be afraid to cross him, so they would think twice before harming Hermione if they knew Snape was protecting her.
Snape's character could develop by showing a more empathetic side. Usually, he is seen as cold and strict. But with Hermione needing his comfort, he might start to soften. For example, he could let down his guard a bit when they are alone in the potions classroom, and show that he understands her struggles more than she thought.
Snape would probably be initially reluctant. He has always had a somewhat prickly relationship with the Gryffindors, and Hermione is no exception. But his sense of duty as a healer or someone with the knowledge to help would eventually make him step in.
Another theme is the power of knowledge. Hermione is known for her intelligence, and Snape is a very knowledgeable wizard. Their relationship can be built around sharing and exploring knowledge. They might work together on some complex magical research, and during this process, their feelings for each other develop.
One good example of 'Hermione needs Snape' fanfiction is 'The Unlikely Alliance' (assuming it exists, just for the sake of example). In this story, Hermione might be in a situation where she has to rely on Snape for some crucial knowledge or protection. Maybe she's on a dangerous mission and Snape is the only one who can help her with some dark magic she doesn't understand. Another could be 'Hermione's Hidden Helper' where Snape secretly aids Hermione in her studies or in dealing with some Hogwarts politics, which she desperately needs.