Snape's character can develop in many ways. For example, he might become more open and less bitter. Surviving could make him realize that he has a second chance at life and he should use it to be a better person.
Often, Snape's Animagus form in fanfiction gives him a new sense of freedom. Let's say his form is a deer. This form could make him more in touch with his gentle side, which he has long suppressed. As a deer, he might interact with the forest animals and gain a new understanding of life outside of the dark arts and the conflicts of the wizarding world. This could gradually soften his character, making him less bitter and more open to new relationships and ideas.
In these fanfictions, Snape's development can be quite complex. At first, he may see baby Harry as just a reminder of his lost love and his nemesis. However, as he is forced to interact with the baby, he might start to realize that Harry is his own person. This could lead to him becoming more protective. He might also start to question his long - held grudges and become a more empathetic person. He could even start to teach baby Harry small things, which in turn makes him more patient and understanding.
In some fanfictions, Snape's character might develop more compassion towards the Potter twins. He starts to see them not just as James Potter's children, but as individuals with their own potential and worth. This could be a slow process, as he has to overcome his long - held grudges.
Snape's character often develops from a cold and aloof figure to a more caring and father - like one. He starts to see Harry not just as James Potter's son but as an individual he is responsible for. His protective instincts grow, and he becomes more patient. For example, he might initially snap at Harry for small mistakes but over time, he learns to guide him gently.
In many 'Harry and Snape mentor' fanfictions, Snape's character develops from being a cold and aloof figure to someone more understanding. For example, in some stories, as he mentors Harry, he starts to see the boy not as James Potter's son but as an individual with his own potential. He may become more patient and less likely to be overly critical.
In some fanfictions, Severus Snape's character develops by becoming more open - minded towards Muggles. He might start off with his typical wizarding - world prejudices, but through various interactions, he begins to see Muggles in a new light. For example, he could meet a Muggle scientist whose thirst for knowledge reminds him of his own love for potions, and this changes his view.
In these fanfictions, Snape's character often develops from a seemingly cold and unfeeling person to someone with more depth. When he saves Harry, it starts to chip away at his facade. For example, he might initially save Harry out of obligation but as time goes on, he realizes he has a genuine care for the boy. This is different from his canon behavior where his feelings are mostly hidden.
Another way Snape could develop is by forming unexpected alliances during the events of the Goblet of Fire in fanfiction. He might team up with other teachers or even some of the students in a way that forces him to step out of his usual solitary and grouchy self. This new experience of working with others could make him more open - minded and change his overall character for the better. He could learn to trust others more, especially if they all have a common goal related to the strange events happening during the tournament.
Snape's character often develops in a more positive direction. Since he has a second chance, he might become more open and less bitter. For example, he could start to build better relationships with his students earlier, knowing the mistakes he made in his first timeline.
Snape's character could develop in a way that he becomes more confident in time - travel scenarios. He starts using his knowledge of the future to his advantage. For instance, he could use potions knowledge from the future to create new spells or remedies in the past, which boosts his standing among the Hogwarts faculty and changes how others view him. This new - found confidence might also make him more open about his feelings, especially towards Lily.