Her personality could be a blend of her original traits and some new ones influenced by her dark heritage. She might still be intelligent and resourceful, but with an added edge of ruthlessness when it comes to protecting her secret or achieving her goals. She could also be more isolated, feeling that she doesn't really belong to either the side of the light or the side of the dark fully.
She would probably be more conflicted. On one hand, she has her normal, studious and kind Hermione self. But on the other hand, there might be a darker, more brooding side to her that she has to keep in check. Maybe she's a bit more secretive, always worried about people finding out her true parentage.
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.
She might be more empathetic. Since Lily was known for her kindness, Hermione could inherit that. So she'd be not only smart but also very understanding towards others.
Well, considering her parents, she might have a bit of a rebellious streak. Since Draco was from a traditional pure - blood family and Hermione was a Muggle - born witch, their daughter could be defiant against the old - fashioned pure - blood ideologies. She could be very outspoken and not afraid to challenge the status quo in the wizarding world. And she'd likely be very empathetic too, having seen different sides of the wizarding community through her parents.
His personality would likely become more brooding and calculating. Gone would be the carefree Naruto we know. He'd be more focused on power and control, much like the typical Sith. He might be quick to anger and less forgiving.
Her personality might be a mix of her parents'. She would have Naruto's sense of humor and his ability to make friends easily. This would help her in forming alliances with other ninjas. At the same time, she would inherit Tenten's determination. When she sets a goal, she would be relentless in achieving it. For instance, if she wants to master a new weapon technique, she would keep practicing until she gets it right, just like Tenten with her weapons training, but she would also make the training process fun with her Naruto - like humor.
She would probably be more rebellious. Sirius was always against the status quo at Hogwarts. So, Hermione as his daughter would likely question the rules more often. Instead of strictly following the school regulations like in the original story, she could be at the forefront of student protests or challenges to the faculty's authority. She would also have a more devil - may - care attitude towards her grades, focusing more on the knowledge itself rather than the academic recognition.
Maybe she could be motivated by power. The Dark Lord might have promised her a high position in his new world order. She might also be disillusioned with the wizarding world's current state and think that the Dark Lord could bring about a better change, even if it means using dark magic.
Well, she could be highly intelligent like Hermione. Maybe she'd be a bookworm, always with her nose in a tome, eager to learn new spells and knowledge. At the same time, she might inherit Draco's sense of pride. So she'd be confident in her abilities and not easily intimidated. However, she could also have a kind heart, a blend of Hermione's compassion and Draco's loyalty to his own, which in this case would be his family.
One of the plot points might be the internal conflict within Hermione herself. She has always been a moral and intelligent character. Discovering she's the Dark Lord's daughter could make her question everything she believes in. There could be a plot where she tries to resist the darker tendencies that might be in her blood. Also, the fanfiction could explore how the Dark Lord's old followers react to her existence. Do they see her as a new leader? Or are they skeptical because she has been on the side of their enemies? And the magical community's attempts to either control or protect her could be another important plot point.
Well, initially, Hermione would be completely shattered by this revelation. Her whole self - identity was based on being a Muggle - born witch fighting against the Dark Lord. Now, she has to reevaluate everything. She might become more secretive as she tries to hide this new part of herself from others. And she may start to explore the more complex and often - overlooked aspects of magic that the Dark Lord was known for, which could lead to a more morally ambiguous Hermione. As she delves deeper, she could either find a way to reconcile her new identity with her old values or be completely consumed by the darker aspects of her heritage.