Well, their relationship could become more of a rivalry. Instead of being friends, they could compete with each other to solve the mysteries around the Goblet of Fire. Each trying to outwit the other in finding out who put Harry's name in the Goblet.
Perhaps they could develop a more mentor - mentee relationship. Hermione, being so knowledgeable, could take on a more guiding role for Harry in dealing with the challenges of the Triwizard Tournament. She could teach him things that Dumbledore or other teachers hadn't thought to, which would strengthen their bond in a different way.
Their relationship could develop through shared danger. As they face the challenges of the Triwizard Tournament, they rely on each other more and more, which deepens their bond. For example, in the dragon task, Harry might be injured and Hermione uses her magic skills to save him, making them realize how much they mean to each other.
In some fanfictions, Hermione's character might be developed with more confidence in the Goblet of Fire setting. For example, she could be more assertive in dealing with the Triwizard Tournament chaos. Instead of just following the rules as she does in the original, she might take more risks to protect Harry. This could be because the author wants to show a bolder side of her, unconstrained by the typical Hogwarts order.
If in the fanfiction, Harry's Metamorphmagus abilities are more of a curse than a gift at first. Hermione would be the one to help him control it. This shared struggle would bring them closer together in a more complex way. They would have to rely on each other more, not just for academic or adventure - related things, but also on an emotional and magical level.
Often, these fanfictions develop their relationship through shared experiences during the Triwizard Tournament. For example, when Harry is facing the tasks, Cho could be shown as a source of moral support. They might also develop their relationship through conversations at the Yule Ball. In some fanfictions, they might bond over their love for Quidditch.
The hug could signify deep friendship. In the 'Goblet of Fire' setting, they face so many dangerous situations. A hug is a way of showing they've got each other's backs. It's like a silent promise that they'll support one another through all the challenges.
Well, it could be that Hermione accidentally drinks a love potion during the Goblet of Fire events. Harry is the only one who can break the spell. The 'lemon' aspect might be some flirty and slightly spicy interactions as Harry tries to bring Hermione back to normal. For example, a scene where Harry has to hold Hermione's hand a bit longer than necessary while reciting a counter - spell.
In such fanfictions, their relationship often develops with Hermione taking on a more protective and guiding role. Since Harry can't hear, Hermione becomes his main source of information about the world around him at times. For example, in the classroom, she might be the one to quickly write down important instructions for him.
Fleur could be developed to be more vulnerable. In the original, she is very much the proud and confident champion. Fanfiction could explore her insecurities, especially in relation to the tournament. And Hermione could be the one to help her through those tough times, showing a different side of Fleur.
In fanfiction, Fem Harry might be more in touch with her emotions. While the original Harry was often a bit stoic, Fem Harry could be shown as more openly expressing her fears and joys. For example, when she is chosen for the Triwizard Tournament, she might have a more emotional reaction like crying out of a mix of shock and anxiety.
One great 'Harry Hermione Goblet of Fire' fanfiction is 'The Unforeseen Bond'. It delves into their relationship during the events of the Triwizard Tournament. It shows how Hermione supports Harry in a more in - depth way than in the original story, and there are some really interesting plot twists that make it a captivating read.