One common theme is redemption. The daughter often tries to make up for her father's wrongdoings. For example, she might work towards rehabilitating Orochimaru's former experiments. Another theme is identity. She has to figure out who she is apart from being Orochimaru's daughter, especially in a world that views her father as a villain.
One possible plot could be that Orochimaru's daughter is initially raised with his dark teachings. But then she meets Naruto. Naruto, with his positive attitude and belief in people, starts to make her question her father's ways. She could then struggle between her loyalty to her father and the new path that Naruto represents.
Their relationship could develop in a rather complex way. Given Orochimaru's reputation, Naruto would be cautious. However, if the daughter shows signs of wanting to break away from her father's dark shadow, Naruto could become her mentor of sorts. He would teach her about the values of the village and friendship. In return, she might offer him unique insights into Orochimaru's mind, which could be useful in future battles or conflicts. They could gradually become allies and friends, but it would be a slow process full of doubts and second - guesses.
It could also be a story of redemption. Orochimaru's daughter might be on a quest to make up for her father's wrongdoings. She looks up to Sakura as a role model, someone who has overcome many challenges and has a strong moral compass. Sakura initially is hesitant to trust her, but as the daughter proves her good intentions time and again, Sakura decides to help her in her journey of redemption. Together, they face various enemies who are still holding grudges against Orochimaru and his actions.
One plot idea could be Sakura exploring her unique abilities inherited from Orochimaru while trying to distance herself from his dark reputation. Maybe she discovers a new form of jutsu that combines Orochimaru's snake - based techniques with her own medical ninjutsu skills.
One interesting 'Naruto Orochimaru's daughter fanfic' could be 'The Daughter of Orochimaru: A New Path in Konoha'. In this fic, the daughter might struggle with her father's dark reputation while trying to prove herself as a ninja with a different ideology. It often has her making friends who are initially suspicious of her but later come to accept her.
A possible adventure could be rescuing a kidnapped friend. Orochimaru's daughter has some leads on the kidnapper's hideout because of her underworld connections she inherited from her father. Sakura is determined to save their friend. When they reach the hideout, they have to fight off the kidnapper's guards. Orochimaru's daughter uses her stealth skills to infiltrate the hideout unnoticed, while Sakura uses her powerful combat skills to take on the guards directly. Together, they manage to rescue their friend and become closer as a result of the experience.
She might have a very tense relationship with Naruto at first. Naruto, being the hero, would be suspicious of her due to her connection to Orochimaru. But as time goes on, he could see that she is different and they could form an unlikely friendship.
One possible plotline could be Sakura's struggle with her identity. She might be torn between her loyalty to Konoha, where she grew up, and her new - found connection to Orochimaru. Another could be her discovery of Orochimaru's secrets and how they relate to her own abilities. Maybe she has some hidden jutsu or powers that are a result of her relation to Orochimaru.
In some Orochimaru lemon fanfic, he might be portrayed as having a more seductive or alluring side. However, this is a very unorthodox view compared to his original character in the Naruto series. His intelligence and cunning nature might still be emphasized, but in a more sexually charged context which is not really in line with the official Naruto story.