They might go on a journey to discover the secrets of Itachi's past. Naruto could learn a lot from Itachi about the Uchiha clan and their powers. Maybe they'll encounter other powerful ninja clans along the way and have to fight or make alliances.
Perhaps Itachi realizes that Naruto has the potential to change things for the better in the ninja world. He takes Naruto with him to train him in ways that the Leaf Village couldn't. Itachi may have some knowledge or skills that he wants to pass on to Naruto, like how to deal with the power of the Nine - Tails in a more efficient way.
Fem Itachi changes the Naruto universe by adding a different dynamic to the power structure. Her female presence brings a new perspective. For instance, she might approach battles and negotiations differently than male characters. She could also influence the relationships between characters. If she becomes friends with Naruto early on, she might change how he views certain clans or ninja techniques.
One possible outcome is that Naruto, being in Itachi's place, might have a very different approach to dealing with the Uchiha clan situation. Naruto is known for his strong belief in redemption and friendship. He could have tried to reason with the Uchiha clan instead of the events that Itachi had to go through. This might have led to a different relationship between the Uchiha and the village.
One possible plotline could be Fem Itachi becoming Naruto's mentor. Since Itachi is highly skilled, she could pass on unique jutsu and strategic knowledge to Naruto. Another plotline might involve a romantic relationship between them, which would be a huge departure from the original story and would create a lot of drama as they navigate their feelings while dealing with the ninja world's challenges. Or perhaps Fem Itachi joins Naruto in his quest to bring peace to the ninja world, using her own methods and abilities to complement Naruto's.
In this fanfiction, Itachi might take Naruto for various reasons. Maybe he sees some potential in Naruto that he wants to cultivate away from the academy's normal teachings. It could also be part of a larger plan to protect Naruto from unseen threats in the academy environment.
Naruto would probably be very confused at first. He's always seen the Akatsuki as the enemy, so being taken there by Fem Itachi would be quite a shock. He might be on guard and constantly looking for a way to escape.
Well, they might go on an adventure to discover new jutsus. Sasuke could be on a mission to learn more about his clan's secrets and takes Naruto along for the ride because he knows Naruto's strength. Maybe they'll encounter powerful enemies and have to rely on each other to survive.
The storyline would change a lot. For starters, Naruto doesn't have the Sharingan like Itachi. So, all the battles and strategies that relied on Itachi's Sharingan abilities would be different. Naruto would have to rely on his own skills, like the Rasengan and his Sage Mode. Also, Naruto's interactions with the other characters in Itachi's world would be different. People in the Akatsuki might not trust him as easily as they did Itachi, or they might be more curious about him because he's so different.
One possible plot twist could be that Fem Itachi has a hidden agenda in taking Naruto to the Akatsuki. Maybe she's actually trying to protect Naruto from a greater threat by pretending to bring him to the Akatsuki. Another could be that Naruto discovers a long - lost connection between his family and the Akatsuki through this journey, which changes his perspective on the whole situation.