There would be chaos. Snape is not one to let things slide easily. He'd probably start investigations, interrogate students, and this would disrupt the normal school life. The students involved in the DA or the fanfiction might have to find ways to cover up or face Snape's wrath.
He would probably be very displeased. Snape has always been strict and traditional, and fanfiction about the DA, which was an unauthorized student group in his eyes, would seem like a frivolous and inappropriate thing to him.
She might be initially defensive. Hermione is a proud and independent character. So, when Snape finds out about her arm, she could be worried that he'll use it against her in some way, like taking away house points or using it as an excuse to give her extra work.
He could be furious. In many fanfictions, Snape is a strict character. Discovering something about a cupboard might lead him to suspect some sort of rule - breaking or hidden secrets. He might start an investigation right away to find out what's really going on.
Snape's reaction could be quite mixed. On one hand, he might be angry at Dumbledore for not doing more if he knew about the abuse. He may also feel a strange sort of empathy towards Harry. After all, Snape himself had a difficult childhood. So, he could start to be a bit more lenient with Harry in his classes and try to subtly offer support.
Snape's reaction could be multi - faceted. He might be angry at those who are abusing Draco, but also a bit conflicted because of Draco's family's ties to the Dark side. He could use his position as a teacher to give Draco some extra guidance and support, perhaps in the form of private tutoring sessions where he can also check on Draco's well - being more closely. He may also start to question his own views on the Malfoy family in general.
The abuser might face the wrath of the DA. They could be ostracized within the wizarding community. The DA members could use their influence to make sure the abuser is held accountable for their actions.
In the fanfic, Snape's reaction could be multi - faceted. He might start by investigating the abuse more deeply. He could use his skills as a Potions master and a former Death Eater to find out who is behind the abuse. And then, he might take steps to ensure Harry's safety. This could involve enlisting the help of other teachers or even trying to get Dumbledore more involved. He may also start to teach Harry some extra skills or give him potions to help him deal with the emotional and physical trauma of the abuse.
Maybe Snape uses this discovery as an opportunity to teach Hermione something new. He could be curious about how she got the condition on her arm and offer to show her a spell or potion to heal or manage it. This would also be a chance for him to show a different side of himself, not just the strict professor.
After Snape discovers the abuse, the relationship undergoes a major transformation. Snape begins to protect Harry from not only the Dursleys but also from any potential threats at Hogwarts. Harry, who has been starved for positive adult attention, starts to trust Snape. Snape, in his own brooding and complex way, starts to care for Harry's well - being. He might even start to teach Harry some advanced magic that he wouldn't have taught him before, seeing Harry's need for strength and self - defense in the context of his abusive home life. This new relationship dynamic is a far cry from their initial animosity.