Well, at first, Naruto might be oblivious to Hinata's yandere tendencies. But as they start to surface, it can create a lot of confusion. Hinata's extreme love and possessiveness could make Naruto question her true nature. He might start to pull away from her, which in turn would make Hinata even more desperate to keep him close. It could turn into a cycle of her being overly clingy and Naruto trying to regain his freedom, ultimately affecting the trust and closeness they once had.
A common plot in such fanfiction is Hinata's secretive actions to be closer to Naruto. She might follow him around without his knowledge, always being there when he least expects it. For instance, Naruto could be on a solo mission and suddenly find Hinata has 'coincidentally' shown up to help. Also, Hinata could use her family's influence to be paired with Naruto on more missions, all while having her yandere tendencies bubble under the surface, like getting angry if Naruto spends too much time with mission partners other than her.
One common theme is possessiveness. Since Hinata is a yandere in these fanfics, she is extremely possessive of Naruto. She doesn't want to share him with anyone else, whether it's his friends or other potential love interests.
Naruto might be really confused at first. He's used to people being friendly or having normal crushes, but a yandere is a whole different level. He'd probably try to talk to her and understand why she's acting so strangely.
There's also 'Yandere Hinata's Obsession'. It usually portrays Hinata's yandere side in a more intense way. Her love for Naruto becomes so overpowering that it starts to affect the relationships around them. The story often plays with the idea of how Naruto reacts to this new, more possessive Hinata.
In a fanfiction, Naruto could be training in a secluded area and Yandere Koneko stumbles upon him. She immediately falls for his spunk and the fact that he doesn't give up easily. Yandere Koneko then tries to insert herself into Naruto's life by bringing him food and small gifts. Naruto is initially confused but then realizes she has a rather extreme way of showing affection and has to gently set boundaries.
One idea could be that Naruto somehow gets trapped in a dimension where Kaguya has become a yandere for him. She tries to keep him there all to herself, while Naruto has to figure out a way to escape and also deal with her obsessive behavior.
At first, Naruto might be really confused. He's used to the normal Sakura, so when she starts acting all yandere, he'd be like 'What's going on, Sakura - chan?'. He'd probably try to talk to her and find out what's wrong.
One common theme is possessiveness. The yandere characters in these fanfictions often show extreme possessiveness over Naruto or other characters. For example, they might not allow the object of their affection to be around other people.
In some Naruto fanfictions, Hinata could potentially be portrayed as a 'weapon' in a very metaphorical sense. For example, her Byakugan abilities might be exploited in unique ways that make her seem like a strategic weapon for a side or a cause. But in the canon Naruto story, she is a character with her own agency and not really a weapon.