It could be a dark wizard who wants to break the bond between Harry and the snakes. This wizard might see Harry's protection by the snakes as a threat to his own power or plans.
Another option is a rival snake - charmer. In this fanfiction, this antagonist could be jealous of Harry's unique bond with the snakes. He or she might try to control the snakes for their own malicious purposes and see Harry as an obstacle. So they constantly try to undermine Harry's protection by the snakes and put his life in danger.
Maybe it's a dark wizard who has an interest in the snakes Harry is taking care of. He wants to use the snakes for some dark magic purposes. So he constantly tries to steal the snakes from Harry or even harm Harry to get to the snakes. For example, he could be a follower of Voldemort who believes the snakes hold some special power that can help bring back the dark lord.
One possibility could be that the snakes are magically bound to protect Harry. Maybe they are under an ancient spell that makes them his guardians. For example, they could form a protective barrier around him whenever he is in danger, like when Voldemort or his Death Eaters are near.
Perhaps a long - lost relative of the Potter family who feels they were unjustly excluded from inheriting the manor. This relative could be jealous of Harry's status and the wealth associated with the manor. They might use dark magic to try and claim what they think is rightfully theirs, leading to a battle of magic and loyalty within the Potter family and among Harry's friends.
Perhaps some traditionalist wizards in the Ministry of Magic. They might view Harry's training by snakes as a form of dark magic practice, even if it's not. So they become the antagonists, trying to arrest Harry or stop his training in some way.
A new dark wizard or witch could be created specifically for this fanfiction. This character could be interested in using the Huntsman's skills for their own evil purposes. If the Huntsman refuses, they become enemies. This antagonist could have powers related to dark forest magic, something that the Huntsman is familiar with but in a more malevolent form.
Voldemort could still be the main antagonist. Even if Demetri has some sort of connection or change in the fanfiction, Voldemort's overarching evil plans would still be a major threat to both Harry and Demetri, especially if Demetri tries to deviate from the Death Eaters' path.
The minotaur itself could be the main antagonist. It's a powerful and dangerous creature, and if it's been set loose in Hogwarts or is guarding something that Harry needs, it would be a major obstacle for him to overcome.
The main antagonist could be a dark wizard who has made the graveyard his lair. He uses the dark energy from the tombstones and the restless spirits there to power his dark magic. Harry stumbles upon this wizard's activities and has to stop him.
A new dark wizard or witch could be the main antagonist. This character, jealous of Harry's fame and power, creates a situation where Harry is framed for a heinous crime. They then ensure his arrest so that they can take over the role of the 'chosen one' in the eyes of the wizarding public and start spreading their own brand of dark magic.
It could be Malfoy. He might make fun of Harry for wearing a dress and try to use it to humiliate him in front of the whole school, which would then lead to a conflict between them that goes beyond the usual rivalry.