In the fanfiction world, the scenario could lead to a whole new adventure. Other characters from the series might get involved too. The gods could also play a role. They might be reluctant to help at first, but seeing the importance of Annabeth, they could change their minds. Her kidnapping could also be a part of Kronos' bigger plan to disrupt the balance in the world of the story.
One possibility is that her friends, like Percy, would immediately start a rescue mission. They would likely gather all the resources and allies they could find. Maybe they'd consult the Oracle for some clues on where Kronos has taken Annabeth.
Well, if we look at the powers of Kronos, he's extremely powerful. Annabeth might be in a really tough situation. But she's also very intelligent. She could try to outwit Kronos while waiting for rescue. For example, she could pretend to be on his side and gain his trust to find a way to escape on her own.
In a fanfiction where Esdeath kidnaps Tatsumi, one possibility is that she tries to force him to join her side. She might use various means like threats against his friends or promises of power. Tatsumi, being a hero at heart, would likely resist. He could try to escape while also trying to figure out Esdeath's weaknesses to defeat her later.
Well, in a typical scenario, Sonic would probably rush to save Tails. He'd use his super speed to track Eggman's lair. Maybe he'd find some clues along the way, like a piece of Tails' fur or a gadget that Eggman accidentally dropped. Then, Sonic would face off against Eggman's badniks, defeat them one by one, and finally reach Tails. He'd free Tails and they'd escape together, with Eggman vowing revenge as usual.
Well, Naruto might use his Nine - Tails chakra to break free. He's a tough one. He could also try to outwit Orochimaru with his ninja skills. Maybe he'd pretend to be unconscious and then surprise Orochimaru when he least expects it.
Another scenario could be that Naraku has some ulterior motive for kidnapping Kagome. Maybe he wants to use her spiritual powers for his own evil purposes. He could try to corrupt her or force her to use her powers against Inuyasha and the others. But Kagome would resist with all her might, and her love for Inuyasha and her friends would give her the strength to hold out until they come to her rescue.
In a scenario where Orochimaru kidnaps Hinata, the Hyuga clan would surely get involved. They'd be outraged and use all their resources to find her. Orochimaru might be interested in Hinata's Byakugan for his experiments. He could try to extract its power or study it. But Hinata has been trained in the Gentle Fist style, so she might be able to hold her own against Orochimaru's minions for a while. And who knows, Sasuke might also get involved. He has his own history with Orochimaru and might see this as a chance to confront him again, especially if he realizes that an innocent like Hinata is in danger.
Well, one possibility is that Elena's friends would immediately start a search party. Damon, for instance, would be furious and stop at nothing to find her. He might enlist the help of Stefan and Bonnie. They could use Bonnie's magic to try and track Klaus' whereabouts.
Another aspect could be the emotional turmoil for the other Avengers. They would surely be scrambling to find Tony. Captain America might feel especially guilty, considering their past differences. The team would have to put aside their differences completely to rescue Tony. They might start by gathering intel on Thanos' whereabouts and formulating a plan that involves their unique skills. For example, Black Widow could use her espionage skills to infiltrate Thanos' base, while Thor could provide the brute force needed in a direct confrontation.
Well, one possibility is that Goku's friends would immediately start a search and rescue mission. Vegeta, being his rival but also an ally, would probably be at the forefront. He'd be furious that Broly dared to kidnap Goku. They'd likely track Broly's energy signature to wherever he's taken Goku. Another thing could be that Goku, while kidnapped, tries to reason with Broly. Maybe he discovers that Broly has some deeper issues or motives for the kidnapping that could potentially be resolved through conversation.
Perhaps Madara has some ulterior motives for kidnapping Hinata. He might want to use her as a bargaining chip against the Hidden Leaf Village. Or he could be interested in her unique abilities. In that case, the Hidden Leaf would have to decide whether to meet Madara's demands or try to outwit him to get Hinata back safely.
One possibility is that Naruto and the others would immediately start a search and rescue mission. They would follow Sasuke's tracks and try to figure out his motives. Sakura, on the other hand, might try to reason with Sasuke during the kidnapping. She could remind him of their past friendship and the bonds they once shared.