Well, they face multiple challenges. Firstly, Snape's mentorship is not exactly warm and fuzzy. His cold demeanor can make it hard for them to open up and ask for help. Harry has to deal with the fact that Snape was not always kind to him in the past, and now he has to trust him as a mentor. Draco has the pressure of living up to his family's expectations while also following Snape's new teachings. And both of them have to face the challenges Snape sets in terms of magical skills, which are designed to push them far beyond their comfort zones.
One challenge is dealing with their different personalities. Harry is brave and headstrong, while Draco is proud and used to privilege. Snape has to find a way to discipline them without causing resentment. Another challenge is the expectations of the wizarding community. People have certain views of Harry as the 'Chosen One' and Draco as a Malfoy. Snape has to protect them from those outside pressures.
Snape and Lucius might be too proud to take instructions from Harry. Since they are used to being in positions of authority, they may not be very receptive to Harry's teaching at first.
One challenge could be Harry's distrust. Harry has had a long - standing enmity with Snape, so he might be reluctant to accept Snape's help. Another is the complex nature of Harry's problems. Harry has faced so many traumas and has a big destiny to fulfill. Snape might find it difficult to address all these issues without overstepping boundaries or causing more harm.
One major challenge is Harry's initial distrust. Harry has known Snape as a mean - spirited teacher, so it's hard for him to accept Snape as a guardian right away. Also, Snape has to protect Harry from the threats of the wizarding world, such as Voldemort's followers. He has to constantly be on guard and anticipate any potential attacks. Another challenge is dealing with Harry's friends. They might be suspicious of Snape too, which could create problems when Snape is trying to keep Harry safe and make decisions for him.
He might face the challenge of acceptance. The Snape family may be hesitant to welcome Harry, given Snape's complex relationship with him at Hogwarts. Also, there could be differences in magical practices. The Snape family might have their own unique ways of doing magic that Harry has to adapt to.
He might face opposition from the school authorities or other wizarding institutions. They could see his army - building as a threat. Also, finding resources to train and equip the army could be difficult. Magic items and training grounds are not easy to come by. And he has to keep the existence of the army a secret from the Death Eaters, which adds another layer of difficulty.
Snape might face the challenge of his own biases. He has had a long - standing dislike for Harry's father, and this could initially cloud his ability to help Harry. Also, the wizarding community may not fully understand autism, so Snape could face resistance or lack of support when trying to implement special accommodations for Harry.
Hermione is a Muggle - born, and Snape has his own complex history with Muggle - borns. They would need to work through Snape's potential prejudices and Hermione's insecurities about that. And of course, Snape's brooding and often cold personality might clash with Hermione's more outspoken and passionate nature.
Well, one challenge could be the public perception. Since Draco is a new reporter, he might be investigating something controversial. Harry has to protect him from those who don't want the truth to come out. Another challenge could be Draco's own pride. He might not want to be seen as needing protection, which could put him in more danger.
One of the main challenges would be financial. Raising a child alone requires a stable source of income for things like housing, food, and medical care. Without a partner to share the costs, Draco would have to figure out how to manage on her own.