Maybe an alien race that the Green Lanterns have underestimated. They see Naruto as an easy target since he's being neglected. But Naruto turns out to be more of a challenge than they thought. This alien race could have some sort of power that nullifies the Green Lantern rings, but Naruto's ninja skills are still effective against them.
Maybe an alien from the Green Lantern universe who has a vendetta against the Green Lantern Corps decides to target Naruto's world. This alien believes that by causing chaos in the Naruto universe, he can draw out the Green Lanterns and destroy them. He has powerful weapons and abilities that are a challenge for Naruto and his friends to overcome.
Well, it could be that Naruto is somehow transported to the Green Lantern universe and is neglected by the Green Lantern Corps at first. Maybe they see him as an outsider and don't trust him. But Naruto, with his determination, starts to prove himself by using his ninja skills in a way that the Lanterns eventually come to respect.
Rias herself could be the main antagonist in a way. Since she is the one neglecting Naruto, she stands in the way of Naruto's growth and acceptance in this new setting. Her actions and lack of recognition towards Naruto can be seen as antagonistic.
The main antagonist could be the Sith Lord who oversees Naruto's neglect. This Sith Lord might be so blinded by the traditional Sith ways that he fails to see Naruto's potential, which in turn makes him the main obstacle for Naruto to overcome.
Maybe the main antagonist could be a combination of forces from both worlds. For instance, some dark entity from Zelda's world that followed her to the Naruto world and is using the situation of her being neglected to grow in power. It could be secretly influencing events to cause more chaos and strife in both worlds.
Maybe an evil organization that has its own plans for the Tenseigan. They have been secretly manipulating events to ensure that the Tenseigan remains neglected so that they can steal it and use its power for their own dark purposes. The main character would have to fight against this organization to protect the Tenseigan and its potential for good.
Another possibility is that Alucard himself could become a sort of anti - hero/antagonist. Due to the neglect he faces, he could start to resent the Naruto world and its inhabitants. He might begin to act out, using his powers in ways that are harmful to the people. This would put him at odds with the main Naruto characters who would then have to find a way to either stop him or redeem him.
It could be a new villain created specifically for this fanfiction. Maybe a powerful ninja - like figure from another dimension who is jealous of Naruto's powers and wants to take them for himself while Naruto is in the Batman universe and feeling neglected, so he has to fight this new threat alone at first.
Perhaps there is no traditional 'big bad' antagonist. Instead, the antagonist could be the overall neglect and apathy of the village itself. It's like the village's indifference towards Naruto when he's sick with a cold is the force he has to fight against. He has to break through this wall of neglect to get the care and respect he deserves.
Another possibility is that there is a rogue ninja in Kumo who uses Naruto's neglected state to his advantage. He might try to manipulate Naruto into doing things that would be bad for both Naruto and Kumo, all while remaining in the shadows and making it seem like Naruto is acting on his own accord.