She might be a Slytherin. Draco was a Slytherin, and she could inherit his ambition and cunning. Also, with Hermione's ability to strategize and think on her feet, their daughter could use these skills to thrive in Slytherin. Slytherin isn't just about pure - blood elitism, but also about resourcefulness and determination, which she could have.
She could be a Ravenclaw. Given Hermione's love for knowledge and Draco's cleverness, their daughter would likely have a thirst for learning and a sharp intellect. Ravenclaw values wisdom and intelligence, which she would surely possess in abundance.
There's also a possibility she could be a Gryffindor. Her mother Hermione has shown great courage many times, and Draco has had moments where he's had to face his own fears. Their daughter could have a combination of their brave qualities and be sorted into Gryffindor. Gryffindor values courage, and she could have the nerve to stand up for what she believes in.
She might have a very formal relationship at first. McGonagall is a strict teacher, and she would probably want to maintain that professional image in front of other students. But privately, she could be very affectionate and give Hermione advice on both academic and personal matters.
Her character could develop through her relationships. She might befriend students from all houses, which is a bit unusual in Hogwarts. This would be because she has qualities from both Gryffindor (from Hermione) and Slytherin (from Snape). Through these friendships, she'd learn different perspectives and grow as a person. For instance, she could teach her Gryffindor friends about the subtleties of Slytherin thinking and vice versa.
Her character might develop in a way that she constantly tries to prove herself. Because of her parents' polar - opposite reputations, she would feel the need to show that she is not defined by their actions or reputations. She could excel in both academics and magic - related sports, like Quidditch, to gain respect.
She could be very determined. If she sets her mind on something, whether it's winning the House Cup for her house or solving a mystery in the Forbidden Forest, she won't give up easily. Her determination could come from Hermione's never - say - die attitude and Draco's single - mindedness when he wants to achieve something.
At first, their relationship might be full of confusion and denial. Draco, coming from a pure - blood supremacist family, would struggle to accept a Muggle - born sister. Hermione, on the other hand, would be shocked but also curious. As time goes by, they might start to secretly help each other. For example, Draco could give Hermione some insights into the Slytherin way of thinking, and Hermione could help Draco with his studies.
The Slytherins would also have mixed reactions. Some might see it as a way to get one over on the Gryffindors, while others might be disgusted by Draco's actions, especially if they still hold traditional pure - blood views. The Hogwarts faculty would be in an uproar. Professors McGonagall would be deeply concerned about Hermione's future and the disruption to the school environment. And Snape might have some complicated feelings, given his past with Draco.
She could be a very complex character. Physically, she might have Hermione's bushy hair but Draco's pale complexion. Emotionally, she would be a blend of her parents. She'd have Hermione's strong sense of justice and desire to help others, but also Draco's pride. This could lead to internal conflicts as she tries to balance these different aspects of her personality. For example, when faced with a bully, she might want to stand up for the victim (like Hermione) but also worry about how it would affect her own status (like Draco).
She would likely be a Gryffindor. Naruto is known for her courage and determination in her own world. Just like how she never gives up in the face of difficulties in the Naruto universe, she would show the same bravery at Hogwarts. She would stand up to bullies like Draco Malfoy and not be afraid to take risks in challenging situations, which are all traits of a Gryffindor.
She is often portrayed as highly intelligent, taking after her mother Hermione. She is usually very good at her studies and has a thirst for knowledge. For example, she might be the top student in her year. Also, she can inherit some of Draco's Slytherin traits, like being resourceful and having a bit of a sly sense of humor. In many fanfictions, she is a complex character who is not afraid to stand up for what she believes in, whether it's against bullies in Hogwarts or unjust wizarding laws.
She could inherit Hermione's gift for spell - casting. Hermione was known for her precise and powerful spells, and their daughter might be able to perform complex spells with ease from a young age. For example, she could be excellent at transfiguration, like turning a teacup into a mouse flawlessly.