Well, a possible plot is her journey to discover her own identity outside of being Snape's daughter. She could be a talented witch in a different area than her father, like divination while he was into potions. And she might have to deal with people who either idolize or hate her father, which adds a lot of drama to her life.
Perhaps she has inherited Snape's talent for potions and is trying to prove herself in Hogwarts while also dealing with the reputation her father has. She could be bullied because of Snape's cold exterior but then show her classmates her own unique charm and skills.
A possible plot is that she has a special gift for potion - making, like Snape, but also a love for books and knowledge like Hermione. This leads her to create new potions based on old, forgotten spells she discovers in the library. However, there are those who are jealous of her abilities and try to stop her progress.
Another plot could be that Snape's daughter is enrolled at Hogwarts without anyone knowing her true identity. She has to navigate the school while hiding her relation to Snape. She might be sorted into Slytherin like her father and face challenges and prejudices from students who still view Snape as a dark figure. But as time passes, she shows them that she is her own person with her own values, while also honoring her father's memory.
Another plot could be that Snape assigns the student to clean his office during detention. While cleaning, the student finds old parchments and journals that give insights into Snape's past, especially his time as a student at Hogwarts. The student becomes more empathetic towards Snape after learning about his difficult past and tries to befriend him, which Snape initially resists but gradually warms up to.
One idea could be exploring Snape's childhood before Hogwarts. Maybe he had a secret friendship with a Muggle that no one knew about. This could add depth to his character and explain some of his later actions.
Another interesting plot could be a backstory about how Snape first got involved with Voldemort. Maybe it was out of a thirst for power initially, but then his views changed over time. This could be delved into in great detail, showing his transformation from a potential dark wizard follower to a hero in the fight against Voldemort.
One idea could be that the baker's daughter discovers a hidden magic in the bread she bakes, which attracts magical creatures. Another could be a love story where a noble falls in love with the baker's daughter, but they face class differences. Or perhaps she enters a baking competition against a rival baker who uses underhanded tactics.
She could be involved in a mystery at Hogwarts that involves an ancient artifact. As Draco's daughter, she has certain skills and knowledge passed down from her family. She uses these to solve the mystery, along the way, she has to deal with other students who suspect her motives because of her family's reputation.
One idea could be exploring Snape's early days at Hogwarts as a student. Maybe his first encounter with Lily Evans and how that shaped his future. Another could be a what - if scenario where Snape decides to fully side with Voldemort in a different way, changing the course of the wizarding war. Or perhaps a story about Snape's relationship with his fellow Death Eaters and how he really felt about them.
Well, it could start with Harry having to take private lessons from Snape for some special magic he needs to learn. During these lessons, they begin to understand each other's past traumas and find common ground. Maybe there's a magical bond that forms between them accidentally, like a soul - bond, which makes them feel each other's emotions. This could lead to a slow - burning relationship as they figure out how to deal with this new connection. And also, a plot where they are both on a quest to find a lost magical artifact and in the process, their relationship evolves from animosity to love.