Perhaps Snape is made to attend some sort of counseling or mentoring sessions. Dumbledore might think that there is some underlying issue that is causing Snape to bully Harry. So, he arranges for Snape to talk to someone about his feelings and actions. This would be a way to reform Snape rather than just punishing him. And if Snape refuses to comply with any of these consequences, Dumbledore might have to take more severe actions like restricting his access to certain areas of the school or even considering his dismissal from Hogwarts, although the latter would be a very extreme measure.
In the fanfic, Snape could be assigned extra duties as a punishment for bullying Harry. For example, he might have to oversee detention for a longer period or help with some menial tasks around the school that he wouldn't normally do. This would not only be a punishment but also a way to keep him in check and away from Harry. Also, his reputation among the students might take a hit. If the students find out that Dumbledore has stopped Snape from bullying Harry, they might start to view Snape in a more negative light, which could be a consequence for his pride as well.
Snape might be given a warning by Dumbledore at first. Just a simple 'stop this behavior or else' kind of warning.
Well, perhaps one of the other teachers might have noticed Snape's behavior towards Harry and reported it to Dumbledore. It could also be that Dumbledore, being as perceptive as he is, noticed Snape's extra harsh treatment of Harry during their interactions in the corridors or in class.
Snape could be in great danger. Voldemort might immediately try to kill him. Snape would have to fight for his life or try to escape. His status among the Death Eaters would be completely ruined, and he'd become a hunted man.
In the fanfiction, Snape could protect Harry from Dumbledore by using his skills in potions. For example, he might create a potion that hides Harry's magical signature from Dumbledore's detection. Or he could use his knowledge of the Dark Arts to counter any spells or charms that Dumbledore might use to keep tabs on Harry. Snape is very intelligent and resourceful, so he could find various ways to physically and magically shield Harry from Dumbledore.
Harry might become more determined to prove Snape wrong. He's a stubborn character, and Snape's yelling could fuel his desire to show that he's not the misbehaving student Snape seems to think he is.
One reason could be that Snape has his own complex sense of loyalty. He may feel that Dumbledore's plans for Harry are too dangerous or not in Harry's best interest in some ways. He has a long - standing relationship with Harry's mother, Lily, and perhaps through that connection, he wants to safeguard Harry from any harm that might come from Dumbledore's actions or decisions.
Yes, on the night of June 30, 1997, Professor Snape killed Albus Dumbledore with the Avada Kedavra Curse. At that time, Dumbledore was dying, and Snape agreed to his request. This action was complicated and meaningful. Snape had actually been working as Dumbledore's spy by Voldemort's side, and killing Dumbledore was part of the entire plan to fight Voldemort. Harry Potter and the Goblet of Fire was not enough. Everyone, please click to read the novel!
In Harry Potter and the Half-Blood Prince, Draco Malfoy was given an almost impossible task by Lord Voldemort to kill Albus Dumbledore and pave the way for the Death Eaters to enter Hogwarts. In order to protect Draco, Severus Snape made an unbreakable oath to help him avoid a task that would almost certainly ruin his life, for failure to fulfill the oath would cost the life of either party. So, while Harry watched from the shadows, Snape used the Killing Curse (Avada Kedavra Curse) on Dumbledore, the headmaster of Hogwarts. This behavior made Harry even more convinced that Snape was the villain, but there were complicated reasons behind it. Moreover, Dumbledore's death had been foreshadowed. Professor Trelawney had predicted that the first person to stand up at a banquet attended by 13 people would die, and the first person to stand up to greet her was Professor Dumbledore. In fact, Snape was able to kill Dumbledore with Dumbledore's permission. If Dumbledore did not want to, the Killing Curse was completely useless, just like in the battle of the Department of Mysteries, when Voldemort used the Avada Kedavra Curse on Dumbledore several times, but it did not work. Harry Potter and the Order of the Phoenix is not enough. Please click to read the novel!
Yes, on the night of June 30, 1997, Professor Snape killed Albus Dumbledore with the Avada Kedavra Curse. However, Dumbledore had foreseen the end of his life and the dangers on the road. In order to protect Harry Potter and a series of complicated reasons, he had asked Snape to do this. Snape was Dumbledore's spy on Voldemort's side, and killing Dumbledore was part of his plan. Harry Potter and the Order of the Phoenix is not enough. Please click to read the novel!
It could be a very complex relationship. Harry has always had a deep - seated hatred for Snape due to Snape's treatment of him in the past. But with Dumbledore's action, Harry might be forced to see Snape in a new light. At first, it could be full of suspicion and wariness on Harry's part.
Another possibility is that the main antagonist could be some sort of ancient evil that is awakened by the events in the fanfic. Dumbledore might have given Snape to Harry because he sensed this new threat. This ancient evil could have powers that are unknown to the modern wizarding world and it would be up to Harry and Snape to figure out how to defeat it.