Dumbledore could be an important character too. He might be aware of Snape's daughter's existence and see the potential in her relationship with Draco. He could be the one guiding them, or at least observing from afar, making sure their relationship doesn't cause any major disruptions in the wizarding world.
One possible plot could be that Draco's daughter is starting her first year at Hogwarts. She's nervous about living up to the Malfoy name. She might make friends with some unexpected people, like a Muggle - born student, which causes some tension in the family as Draco has to come to terms with his daughter's more inclusive views.
Well, in many 'Draco Malfoy daughter fanfiction' stories, there's often the plot element of her discovering a hidden power or secret within the family. This power might be related to dark magic that her father was involved in, or it could be a new form of magic altogether. Also, her relationship with her father is a big part. Sometimes she's trying to gain his approval, other times she's rebelling against him. Her interaction with other pure - blood families and how she navigates the politics among them is also a common plot point.
Well, one possible plot could be that Draco's daughter is trying to break away from the Slytherin stereotype. Maybe she befriends students from all houses and faces opposition from some of the old - fashioned pure - blood families. She could also have a special power that she has to keep hidden.
Their relationship could start out as a sort of alliance based on their families' pure - blood legacies. But as they get to know each other better, they might find that they have more in common than just blood status. Draco could be intrigued by the mystery of voldemort's daughter, and she might be drawn to Draco's complex personality.
Well, it could be about the daughter of Snape secretly having feelings for Draco Malfoy. Maybe she's been in the shadows all this time, and when she meets Draco, there's an instant attraction. Their relationship might develop against the backdrop of the wizarding world's politics and power struggles.
Perhaps voldemort's daughter has some hidden power that Draco discovers. This power could be the key to defeating the remaining dark forces in the wizarding world. However, using this power comes with a great risk, and they have to decide if they are willing to take that chance. It would create a lot of tension and moral dilemmas for both characters.
In some fanfictions, Draco might start to question his family's loyalty to Voldemort. The events of the Goblet of Fire could expose him to the true horrors of the Dark Lord's plans, causing him to develop a more independent and moral stance. For example, he could see the harm that Voldemort's return brings to Hogwarts and its students, and this makes him reevaluate his associations.
In this type of fanfiction, Draco's character could develop in terms of his relationships. The experience of getting spanked could make him more vulnerable, and he may open up to people he previously kept at a distance. He might form closer bonds with those who show him kindness or understanding during this difficult time. It could also make him more introspective, leading to a change in his values and priorities within the wizarding community.
Well, Draco Malfoy himself would obviously be a major character. He'd be guiding or sometimes over - protecting his daughter. Harry Potter could also be a character. Maybe he's now a teacher at Hogwarts and has an interesting relationship with Draco's daughter, like being a mentor of sorts. Hermione Granger, if she's also on the faculty, could be another important figure, perhaps teaching the girl some valuable lessons about magic and acceptance.