The old shinobi council from his former village could be antagonists. They might still see Naruto as a threat even in exile and try to harm his kids to prevent them from becoming powerful. Or perhaps some new villains who want to use Naruto's kids to get to him, knowing his strong bond with them.
Well, in this fanfiction, Naruto being exiled might be due to some false accusations. His kids could be born during his exile. He'd have to protect them from the threats that might come his way because of his exile. Maybe he trains them in secret arts that he discovers during his time away from his homeland, and they end up becoming a small but powerful family unit.
The elders of his family or clan could be the main antagonists. They might have exiled Naruto in the first place due to some old - fashioned beliefs or fear of his power. Throughout the fanfiction, they could try to stop Naruto from finding out the truth or coming back to the clan.
The Akatsuki might also be the main antagonists. They were after the bijuu in the original story. With Naruto having two, they would surely target him. They might see it as an opportunity to gain an even greater edge in their plan to control the world.
The Fairy Tail guild members who supported Natsu's exile could be antagonists. They might believe in false accusations against him or have their own motives for wanting him out of the guild, like jealousy of his power or popularity.
One possible antagonist could be a rogue ninja who also wants the power of the Rinnegan. He might see Naruto as a target to either steal the power from or eliminate so that he can be the most powerful in the ninja world. This character could be a new creation or an existing villain with a new motivation.
The main antagonists could be members of an ancient clan who see Naruto's emerging powers from his bloodline as a threat to their own plans for power. They might fear that his newfound abilities will disrupt the balance of power they have been carefully cultivating for generations.
Maybe some sort of combined form of Orochimaru and a powerful Hollow. Orochimaru is always after power and knowledge, and in this fanfiction, he could have somehow made his way into the Bleach world during Naruto's exile. The combined entity would be extremely dangerous, having both Orochimaru's cunning and the Hollow's brute strength.
One potential antagonist could be a group of rogue ninjas who see Sarada's pregnancy as a sign of weakness in the village. They might try to target her to cause chaos. Another could be a jealous rival who doesn't like the attention Sarada is getting due to her pregnancy and her connection to Naruto.
It could be Orochimaru. He might be interested in the baby's unique genetic makeup, thinking he can use it to create more powerful experiments. He has always been obsessed with power and the baby's combination of Naruto and Temari's abilities would be very appealing to him.
The village elders could be the antagonists. They might have a hidden agenda and want Naruto out of the picture, so they imprison him unjustly.