It could be the leader of the group that the assassin belongs to. They might be using the assassin for their own dark purposes and be the main force behind any evil plans.
Maybe there is a rogue shinobi in the Mist Village who has a vendetta against the assassin. This shinobi could be jealous of the assassin's skills and tries to frame them for various crimes, making them seem like the bad guy when in fact they are also a victim in a way. And this rogue shinobi could end up being the main antagonist as they keep causing trouble for the assassin and Naruto.
Another possibility is that there is an external force, like a powerful ninja from another village who has hired the assassin. This external ninja could be the main antagonist as they are the one driving the assassin to carry out their deadly missions. They might have their own reasons for targeting certain people in the Mist Village or Konoha, and Naruto and the assassin have to work together to stop this external threat.
It could be another powerful kitsune who wants to use the assassin for their own evil plans. This other kitsune might be jealous of the assassin's skills and wants to control them.
The main antagonist could be a new character. For example, a powerful ninja from a rival village who has a vendetta against Konoha. This ninja could manipulate Naruto into leaving Konoha by spreading false rumors about the village. Then, he tries to use Naruto's power as an assassin for his own evil plans.
A powerful dark sorcerer could be the main antagonist. He might be seeking to use Percy's skills for his own evil purposes, and when Percy refuses, he becomes the target. The sorcerer would have a vast array of dark magic at his disposal, making him a formidable foe.
An ancient and forgotten god who has been awakened. This god could be angry at the modern demigods for ignoring the old ways and decides to send assassins after Percy as a warning to the rest. They might want to bring back the old order where gods were feared and worshiped more and see Percy as a symbol of the new, more independent demigods.
A new, original character could be created as the antagonist. Maybe a powerful and vengeful assassin who has a grudge against Robin for some past event. This character could have unique abilities and a personal vendetta that drives the conflict in the fanfiction.
It could be someone from the Naruto universe who doesn't like Naruto's newfound fascination with Aku. For example, Danzo might see Naruto's interest in Aku as a threat to the stability of the village and try to stop Naruto from further exploring Aku - related things. So, Danzo could be the main antagonist in this case.
Maybe a new character could be introduced as the main antagonist. This character could be from a hidden village that has been secretly observing Naruto's growth. They realize his potential as a weapon and plan to steal his power or use him to start a war against other villages.
Krampus himself could be the main antagonist. Since he is a figure known for punishing the naughty, his actions in the Naruto world might be seen as unjust. He could be going after ninjas without really understanding their motives, causing a lot of trouble for the main characters.
It could be a rogue ninja who also has somehow acquired bankai - like powers. This antagonist might be jealous of Naruto's newfound abilities and wants to prove that he is the stronger one. So he starts causing chaos in the ninja world, challenging Naruto at every turn.
It could be a rogue ninja who wants to disrupt Naruto's business to gain power. Maybe he's jealous of Naruto's success and popularity in the business world. He could try to steal Naruto's business secrets or sabotage his operations.