If she is shy, she might prefer to work alone on her potions. For example, she would spend hours in a quiet corner of the potions dungeon, carefully measuring and mixing ingredients without much interaction. On the other hand, if she is outgoing, she could be more likely to collaborate with other students, sharing ideas and perhaps even creating new potions through group efforts.
Her character could be developed as a bit of an outcast at first. People might be intimidated by her being Snape's daughter and assume she's as strict and unapproachable as he is. But as she shows her love for potions, she could gradually make friends. For example, she might start sharing her knowledge about potions with other students who are struggling, which shows her kind side beneath the initially aloof exterior.
Snape is a complex and often brooding character. His daughter might initially find it difficult to get close to him. He would probably be strict in teaching her magic, especially potions. But his underlying love and protectiveness would show in small ways, like making sure she has all the ingredients she needs for her potions work. His reserved nature might make her feel like he doesn't care much, but as she grows older, she would understand that his actions speak louder than his words.
One possibility is that she discovers a hidden potion recipe in her father's old notes. She decides to try and make it, facing various challenges along the way, like finding rare ingredients and dealing with unexpected reactions. Maybe she uses her knowledge to help out her friends at Hogwarts who are in trouble.
The plot could center around Snape's daughter entering a potions competition. She has high hopes but also a lot of pressure because she's Snape's daughter. Along the way, she might struggle with some potions that require a delicate touch. She could also get help from an unexpected source, like a friendly ghost who has some ancient knowledge about potions.
Given Snape's reserved and often brooding personality, he would likely read the epilogue fanfiction in solitude and really take his time to analyze it. His pride in his own knowledge of the wizarding world would make him either dismissive of any new ideas in the fanfiction that he doesn't agree with, or grudgingly impressed if there are some well - thought - out concepts. His past experiences, especially his complex relationship with Harry and the other students, would also play a role in how he reacts to the fanfiction.
His sarcastic nature could either be a source of humor or tension in their relationship. On one hand, it could be a way for him to bond with his child, sharing witty remarks. On the other hand, if the child is sensitive, it might cause some friction. However, Snape would likely realize this and try to adjust as he truly cares for the child's well - being.
Naruto's sense of loyalty would mean he'd be extremely protective of his daughter. He'd do anything to keep her safe, whether it's from physical threats or from negative influences in the ninja world. This might sometimes be a bit overbearing for his daughter, but it comes from a place of love.
She would likely be very intelligent. Snape was a brilliant wizard, and he would surely pass on his knowledge and love for learning. She might also be a bit reserved and guarded, just like her father. His experiences made him cautious, and she could inherit that trait. And she'd probably have a strong sense of loyalty, especially towards those she cares about, as Snape was ultimately loyal to Dumbledore and the cause of good.
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.
Her controlling personality would make her critical. She'd be looking for any deviation from what she considers the 'correct' version of the story.