Well, first of all, she'd be highly perceptive. Snape was always observing and analyzing, and his daughter would likely do the same. This would make her a good judge of character. She'd also be determined, just like her father was in his various pursuits. Whether it was in her studies or in helping her friends, she wouldn't give up easily. And in terms of emotions, she might be a bit brooding at times, like Snape. But she could also have moments of great passion, especially when it came to things she truly cared about, such as justice or protecting the innocent, which was something her father ultimately fought for.
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.
Her personality could be greatly influenced by her father. Severus Snape was known for his sarcasm and dry humor, and she might pick up on that. She could use sarcasm as a defense mechanism. Also, his ability to keep secrets would rub off on her. She might be the type to keep her own counsel and not easily trust others with her innermost thoughts. However, she could also have a softer side, perhaps a result of seeing the good in her father that others didn't always notice.
Her presence could also make Severus more vulnerable. He might be more likely to show his emotions and softer side. In the fanfiction, she could be the only person he truly trusts. So, when she gives advice or asks him for help, he would act accordingly. This could change his actions towards his students, his colleagues, and his role as a spy. For example, he might be more lenient with students if his sister has a positive view on nurturing young witches and wizards.
For writing her character, you need to think about her place in the wizarding world. She's the daughter of a controversial figure. So, she might be constantly in the spotlight. This could make her either shy away from attention or use it to her advantage. Her magical abilities should also be developed in a way that makes sense. Maybe she has a natural aptitude for some spells that Snape was also good at, but she struggles with others. Her relationship with her peers is crucial too. She could be a bit of an outcast at first, but as the story progresses, she forms deep bonds. You can also explore her emotions towards her father's death and how it affects her growth as a witch.
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 personality would likely be strong - willed. Since Artemis is a powerful and independent goddess, Bella would inherit some of that strength. She would be confident in her abilities, especially those related to the outdoors like hunting and survival.
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.
Well, her experience at Hogwarts could be quite different in many ways. Since Harry had faced so many challenges and life - threatening situations during his time at Hogwarts, the school would have tightened security in some ways. So she might find it a bit more restricted in some areas. But at the same time, because of her father's influence, she could have access to some special privileges. For example, she might be allowed to visit the Forbidden Forest more often for research purposes if she shows an interest in magical creatures. Also, her social life would be different. Harry had a rather small group of very close friends, but she could be more of a social butterfly, flitting between different groups in different houses. This would give her a broader perspective on the different cultures within Hogwarts. And in terms of her academic performance, she might be under more pressure to excel not just for herself but also to uphold her father's name. But she could also use her father's knowledge and experiences as a source of inspiration and guidance to do well in her studies.
Snape might become more confident. As a king, he would have to take charge and make decisions without hesitation. His usual brooding and self - doubting nature might be replaced by a more assertive and commanding personality. He would also likely be more protective of his 'kingdom' or those under his rule, which could show a more noble side of his character.
Snape's personality would likely soften. He'd have to be more patient and understanding. Instead of just being the strict and often sarcastic Potions master, he'd become more nurturing. He'd still have his sharp edges, but around Harry, he'd show more kindness and care as he takes on the role of a guardian.
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.
As a wolf Animagus, Snape might be more in touch with his primal instincts. His usual guarded and calculating personality could be tempered by the wild nature of the wolf. He may be more impulsive in his actions, acting on instinct rather than over - thinking every move like he does in his human form.