At first, Tsunade might be skeptical of Naruto. But as they face challenges together during their time - travel, she would start to see his value. Naruto, on the other hand, would be in awe of Tsunade's potential at a young age. Their relationship could develop into a strong friendship as they rely on each other's skills. For example, Naruto could protect Tsunade from physical threats while she uses her medical skills to heal him when he gets injured.
Maybe they travel back to a time when Tsunade was just starting to develop her medical ninjutsu. Naruto, with his understanding of modern medical knowledge (from Sakura perhaps), could help her make great leaps in her medical skills. They could also team up to deal with a powerful enemy that was a threat at that time. Naruto's strength combined with Tsunade's budding abilities would make for an exciting story.
Often, Orochimaru can be a main antagonist. Since he has his own devious plans in the Naruto universe, in a time - travel scenario, he might oppose Naruto and Tsunade's attempts to change things for the better. He could be trying to use the time - travel chaos to his own advantage, like stealing forbidden jutsu from different eras.
Often, Orochimaru can still be a main antagonist. Even in a time - travel scenario, his thirst for power and immortality doesn't change. He might oppose Naruto and Tsunade's attempts to change the past as it could disrupt his own plans for power.
A Naruto and Tsunade time travel fanfiction can be really interesting. It could involve them going back in time to change certain events in the Naruto universe. Maybe they go back to prevent a great tragedy or to save a beloved character. For example, they might travel back to the time of the Uchiha massacre and try to stop it, which would completely change the course of the story.
In some 'naruto x tsunade time travel fanfiction', an interesting plot could be that Naruto and Tsunade travel back to a time when the Hidden Leaf Village was just being founded. They have to deal with the primitive and often dangerous situations of that era. Naruto might introduce some future - like ideas to help build the village, while Tsunade uses her medical skills and leadership to gain the trust of the early villagers. It's also possible that they face challenges from other ninja clans who are not so welcoming of their new - fangled ways.
Another plot could be that Tsunade uses her medical knowledge along with Naruto's power to go back in time and heal some of the major wounds the ninja world has suffered. They could go back to the time of the First Hokage and help him build a more peaceful and prosperous ninja world from the start. In this way, they might avoid all the wars and conflicts that followed.
One possible plotline could be that Naruto accidentally travels back in time and lands right in front of Tsunade when she was at a crucial point in her life, like just after the death of her loved ones. Naruto, with his future knowledge, helps her cope and in the process, they grow closer. Another plotline could be that Tsunade is sent to the future where she meets an older and more mature Naruto. They initially clash due to their different outlooks from different times but then gradually fall in love as they understand each other better.
Also, in the past, they might have to adapt their fighting styles. Naruto, used to fighting with his friends and allies from his own time, now has to work with different ninja in the past. He may have to learn new teamwork strategies and combine his abilities with those of the past - time ninja in a different way. Tsunade might also have to rely more on her brute strength and less on her developed medical and strategic skills from the future, at least until she can adjust to the past situation.
In a time - travel scenario, Naruto could go back in time and meet a younger Tsunade. His knowledge of her future self might make him initially approach her with a sense of familiarity. Tsunade, on the other hand, would be intrigued by this strange boy. Their relationship could start as a friendship, with Naruto gradually showing Tsunade a different perspective on life and ninja values. As time passes, they might start to develop deeper feelings for each other, based on mutual understanding and shared experiences in this altered timeline.