One possible plot twist could be that the kidnappers are actually being controlled by an old enemy of Naruto's village who wants to use him as a bargaining chip to get some ancient scrolls. Another could be that Naruto is kidnapped by someone who thinks he is the key to a powerful jutsu they want to unlock, but in reality, they have the wrong idea about Naruto's abilities. Maybe the kidnappers are from a hidden group within the ninja world that has a grudge against the Uzumaki clan and Naruto specifically.
One interesting plot twist could be that the kidnappers are actually being controlled by an old enemy of the Hidden Leaf Village who has a personal vendetta against Naruto. Maybe they plan to use him as a bait to draw out the Hokage. Another twist could be that Naruto is kidnapped by someone he trusts, like a seemingly friendly ninja from another village who has a secret agenda.
In the fanfiction, perhaps Rachel's kidnapping is part of a bigger mystery. It could be related to some secrets in the world of glee clubs. For example, there might be an underground competition or a shadowy organization that wants to use Rachel's talent for their own purposes. Her friends in New Directions then have to work together to find her, using their own skills and the power of music to track her down.
One great fanfiction could be 'The Abduction of Stiles'. In this story, Stiles is kidnapped by a mysterious group. The author does a wonderful job of building suspense as his friends race against time to find him. It has some really intense moments and great character development.
It could be that the kidnapping was part of some elaborate prank or a misunderstanding. Maybe the girl thought it was a fun adventure and didn't realize the seriousness at first.
Naruto might be initially confused. He trusts Tsunade, so being kidnapped by her would be completely unexpected. He would probably start by asking her why she's doing this.
In the fanfiction, JJ gets kidnapped right outside the BAU building. It's a bold move by the kidnapper. The team is stunned. Emily is the first to start piecing together possible motives. They discover that the kidnapper has a vendetta against the BAU. JJ, while kidnapped, manages to leave some subtle signs for the team to find. The team races against time, using their combined skills of profiling, forensics, and technology to track her down before it's too late.
It could be that there was a lot of distraction or chaos going on, so people didn't pay attention. Or perhaps the kidnapper used some sort of trick to make it seem like the kid was just moving away on their own.
There are fanfictions where Artemis is kidnapped by fairies who have finally had enough of his meddling in their world. They take him to their realm and he has to use his wits to escape while also trying to understand their culture better. It's a really cool concept that combines the mystery of the fairy world with the tension of a kidnapping situation.
Well, usually there's tension and drama. There's the fear of the girl and the efforts of someone to rescue her. Also, it might involve some kind of emotional connection developing between the kidnapper and the girl.