One possible plot could be that Sakura has feelings for Naruto, and seeing his fangirls makes her jealous. Maybe she starts to feel insecure about her own relationship with Naruto, whether it's a friendship or something more in the context of the fanfic. She might then try to prove herself better than the fangirls in some way.
The main theme could be love and jealousy. Sakura's jealousy over Naruto's fangirls indicates her love for Naruto, whether it's romantic or a very deep friendship. The fanfic could explore how jealousy can affect relationships and how one deals with it.
Sakura might react by being more assertive around Naruto. Instead of being shy or holding back, she could be more forward in showing her friendship or even her deeper feelings. She may also try to intimidate the fangirls in a way, like using her strength as a ninja to show that she is not one to be trifled with.
The fanfic could also explore Sakura's jealousy in a more emotional way. Maybe she starts to distance herself from Naruto because of the fangirls. But then she realizes that she misses him and that her jealousy was really a sign of her deeper feelings for him. This could lead to a moment of realization for Sakura and perhaps a change in their relationship. For instance, she might become more open about her feelings towards Naruto instead of bottling them up like she often does.
Yes, there probably is. In the Naruto fandom, there are various fanfiction themes, and the 'narusaku' (Naruto - Sakura relationship) with Naruto hating Sakura can be an exploration of an alternative take on their relationship. Some fans might write this to explore what - if scenarios or to express their own views on the characters' dynamics that deviate from the canon.
One common plot element is Naruto seeing Sakura with another guy. This immediately triggers his jealousy. For example, in many fanfictions, Sakura might be training with a new male ninja, and Naruto's jealousy flares up.
I'm not entirely sure, but it might be that in this fanfic, Sakura realizes she made some wrong choices. For example, she could have regretted not being more open with Naruto earlier in their relationship. It could explore her feelings of longing and remorse as she looks back on their interactions.
Jealousy, of course, is the main theme. Sakura's jealousy towards Naruto is the driving force. It often leads to themes of self - discovery as Sakura has to figure out why she's feeling this way. Another theme could be friendship, as her jealousy can either strengthen or strain her friendship with Naruto.
One popular 'narusaku naruto jealous fanfiction' is 'Jealousy's Sting'. It delves into Naruto's jealousy when he sees Sakura getting close to someone else. The story does a great job of portraying his internal struggle between his feelings for Sakura and his fear of losing her.
Well, in some Narusaku fanfictions, Sakura might hurt Naruto emotionally by choosing Sasuke over him repeatedly. This can make Naruto feel rejected and unloved, causing him pain.