Sakura might be very cautious at first. She's heard about the Akatsuki's bad reputation, so she would keep her distance. For example, if she sees an Akatsuki member lurking around school, she'd probably try to avoid them and alert the proper authorities, like the school security or her ninja mentors if it's in a Naruto - like world with ninja training in high school.
Yes, there are several fanfictions with this concept. In these fanfictions, Naruto's character often undergoes significant changes as he joins the Akatsuki. His motives for joining can vary from seeking a different path to having been influenced by certain events or characters. It's an interesting twist on the original Naruto storyline.
Naruto would be devastated. He has always considered Sakura as a dear friend and teammate. He would probably try to convince her to come back at first. If that fails, he might see it as his mission to bring her back by force if necessary, believing that she has been led astray. Sasuke, on the other hand, might have a more complex reaction. He has his own issues with Konoha, so he might understand Sakura's desire to leave on some level, but he would also be suspicious of her motives for joining Akatsuki.
Power - seeking is also prevalent. The oc may join the Akatsuki to gain more power, either to achieve a personal goal or to be part of a powerful organization. They might be on a quest to master a particular jutsu that only the Akatsuki can offer access to.
One common theme is redemption. Many fanfictions explore the idea of Akatsuki members seeking redemption for their actions. Another theme is backstory. Writers often create detailed backstories for these characters to make them more complex and relatable. And power - up is also a theme, like an Akatsuki member getting a new power or ability.
Itachi. He has his own moral code and he might see something in Chibi Sakura that reminds him of his own will to protect. He could form an alliance with her if he believes it would be for the greater good, like stopping the more extreme members of Akatsuki from causing too much destruction.
When writing interactions between Sakura and Akatsuki members, you have to think about the emotional aspect. For instance, if Sakura meets Deidara, she might be frustrated by his explosive and unpredictable nature. But at the same time, she could see a bit of herself in his passion for his art (her passion for medicine). You can build on this by having them argue about the value of their respective crafts. Also, for interactions with Obito, given his complex backstory, Sakura could be empathetic towards him once she discovers his past, which could lead to a very emotional and deep interaction.
Yes, there might be some. You can try searching on fanfic websites like FanFiction.net or Archive of Our Own. They usually have a large collection of fan - made stories including ones related to Naruto where Sakura could potentially join the Akatsuki.
I'm not sure specifically as there could be many different versions of this fanfiction. It might involve Sakura having some sort of relationship or adventure within the Akatsuki group. Maybe she could be a spy among them, or perhaps she gets involved in their various missions and power struggles in a unique way.
Itachi could be a likely candidate. He has always had a complex relationship with Naruto. He knows Naruto's potential and his importance in Sasuke's life. Itachi might see Naruto as a key to changing the Akatsuki from within. He could approach Naruto with his calm and mysterious demeanor, explaining to him the real goals of the Akatsuki that are hidden beneath their violent exterior.