At first, Snape would be extremely suspicious of Harry. But as Harry proves his intentions by actually helping him, Snape would gradually start to trust him. Their relationship would become less antagonistic. Snape might even start to see Harry as an ally rather than just James Potter's son.
Well, it would be a very complex change. Harry's act of time traveling to assist Snape would be a huge surprise to Snape. Initially, Snape might think it's some sort of trick. But as Harry continues to help him, for example, by saving his life or preventing his humiliation, Snape would start to view Harry in a new light. Their relationship would move from one of mutual dislike to one of mutual respect. Harry would understand Snape's sacrifices better, and Snape would see Harry as someone who is trying to make amends for the past, even though it hasn't happened yet in the time - travel scenario.
The relationship would become more complex. Snape would have a certain level of control over Harry as his familiar. This would force Snape to be more responsible for Harry's well - being. Harry, in turn, would have to rely on Snape in a new way.
In a fanfiction scenario, Harry's actions could cause a complete breakdown in any potential for a positive relationship between them. Snape's loyalty to Dumbledore and his role in protecting Harry from the shadows would be put at risk. Harry would have to face the fact that he may have made a huge mistake. And Snape, who has sacrificed so much already, would be in an even more precarious position, both with Voldemort and in the wizarding world in general. This could lead to a chain of events that completely alters the course of the wizarding war, with far - reaching consequences for both Harry and Snape.
The relationship would become extremely strained. Harry would likely go from having some level of respect or at least tolerance for Snape to feeling intense hatred. He might avoid Snape at all costs and even start to plot revenge in his head.
In the fanfiction, Snape's impression might make him more protective of Harry. He could start to subtly look out for Harry's well - being, whether it's in the face of other students' bullying or more dangerous threats from the dark side. This would be a significant change from their usually strained relationship in the original story.
On the other hand, it could also lead to a strange kind of understanding. Maybe Harry realizes that Snape is under a great deal of pressure and that the punch was a momentary lapse. This could make Harry more empathetic towards Snape, although he might still be angry about being punched.
The relationship would be drastically different. Harry, who has always seen Snape as a rather unlikable figure, would start to see him in a new light. He might come to respect Snape as a father figure. Draco, who has some connection to Snape through his family, would now have a more personal and perhaps more positive relationship with Snape. Snape himself would have to soften his usual harsh demeanor towards Harry. And between Harry and Draco, they would be forced to get along better as they are now under the same roof. They might start to understand each other's insecurities and backgrounds more.
Well, it could become more positive. Harry might grow up seeing Snape as a hero or a protector, instead of the antagonist he was in the original story. This would lead to a more trusting relationship between them.
The relationship would be a rocky one. Snape has his past grudges against Harry's father. However, living together, they would be forced to interact daily. Harry might start to understand Snape's difficult past and Snape could see Harry's potential. There could be moments of anger, but also moments of mutual understanding, like when Harry helps Snape with some magical experiment.
Well, it would be a lot more complex. Instead of the animosity that exists in the original story, there could be an underlying bond. Snape might be more protective of Harry from the start, but still struggle to show it in a positive way. Harry, on the other hand, might be more curious about Snape and try to understand him better.
The relationship would start off rocky. Snape would be resistant to Harry's kindness as he has always seen Harry as James Potter's son. But Harry's persistent efforts to understand and help Snape would gradually break down Snape's walls.