They might face challenges in terms of resources. When they run away, they can't just rely on the support systems they had at Hogwarts. Hermione might be able to use her knowledge to find ways to get food and other necessities, but it won't be easy. For example, they may need to barter with magical creatures or find a way to earn money in the wizarding world without revealing their identities.
One challenge could be finding a safe place to stay. The wizarding world is not that big, and there are many places that are easily detectable. They would need to use magic carefully to avoid leaving a trail for those who might be looking for them.
Another big challenge would be dealing with their own emotions and relationship. They are friends, but running away together in such a difficult situation can put a strain on their relationship. There could be arguments about the best course of action, and they also have to deal with missing their other friends and family at Hogwarts. Also, they might face the danger of being betrayed by someone they trust while they are on the run.
In a 'Harry and Hermione run away fanfic', they could be running away from the pressure of their pre - destined roles. Harry is always seen as the 'Chosen One' and Hermione as the brilliant sidekick. Fed up with these expectations, they decide to run away and explore the wizarding world on their own terms. They might travel to different wizarding schools across the globe, learning new spells and making new friends outside of Hogwarts.
One challenge could be Ron. Since Ron is their friend, and he has his own feelings for Hermione, this could create a lot of tension. Harry might feel guilty about his feelings for Hermione because of Ron. Another challenge could be the expectations of the wizarding community. They are both well - known in the wizarding world, and their relationship might draw a lot of unwanted attention.
They might face social challenges. In the wizarding world, there could be those who don't approve of their relationship or their decision to raise a child together. Also, financial challenges could arise. Even though they are heroes, they still need to provide for the child's needs, like education at Hogwarts which might have costs associated with it.
One challenge could be getting Hermione to eat. Babies can be picky eaters, and in the wizarding world, there might be special potions or foods that Hermione needs but doesn't like. Another challenge is keeping her safe from magical accidents. With all the magic around, a simple spell could go wrong and put Hermione in danger.
Hermione would also face the challenge of secrecy. If the wrong people found out, it could put her in danger. And she might have to constantly lie to her friends and family, which would be really hard for someone as honest as her. In some fanfictions, this internal struggle is really well - explored.
Maybe they run away because they are tired of the constant danger at Hogwarts. They've faced so many threats, and they just want a break. So they run to a peaceful place where no one knows them.
One challenge could be the reaction of their families and friends. Hermione's friends might be skeptical of Pansy at first, given her past behavior. And Pansy's family might have different expectations for her. Another challenge could be the wizarding society's view. It's not common for two witches, especially ones from different social circles like Hermione (a Muggle - born hero) and Pansy (a former Slytherin with a less - than - stellar reputation), to get married.
One challenge could be dealing with the other students' reactions. Most students at Hogwarts have pre - conceived notions about Harry, Hermione and Draco. For Harry and Hermione, Draco has always been seen as a bit of a bully. And for Draco, being friends with a Gryffindor like Harry and a Muggle - born like Hermione goes against his family's beliefs. So they'd have to face a lot of gossip and maybe even some hostility from their peers.
Hermione could face a lot of challenges. First, Draco might set very high standards for her that are difficult to meet, either because he wants to test her or because he still has some of that old rivalry in him. Second, there could be a lack of trust between them initially. Since they were not on good terms before, it might take time for Draco to fully trust Hermione with important tasks. Third, the workplace environment itself might be hostile. If other employees are aware of their past relationship, they might side with Draco or make Hermione's life difficult. Hermione will need to be very resilient and use her intelligence to overcome these challenges.
Another plot could be that they run away to escape the chaos and danger at Hogwarts during a particularly bad time, like when Voldemort is really tightening his grip on the wizarding world. They set out to find allies outside of Hogwarts, like some old and forgotten wizarding families, and together they form a resistance against Voldemort.