Naruto would likely be more in tune with his emotions. Since the Fem Kyuubi could potentially have a more nurturing influence, he might not be as brash and loud as in the original story. He could be more introspective and have a deeper understanding of the power he holds from a young age. This would change his interactions with his peers, as he would seem more mature in some ways.
In this fanfiction, Naruto's character development could be centered around his connection to his mother, the Fem Kyuubi. He would grow up with a sense of purpose related to his heritage. He might be more confident in his abilities because he has a clear understanding of where his power comes from. This would also affect his relationships. For example, he could be more protective of his friends, seeing them as part of his new family that he has created in contrast to his lonely childhood in the original story. His journey to become Hokage would also have different motives, perhaps related to proving the worth of the Fem Kyuubi and its connection to the ninja world.
His development could be quite different. Since he has this special connection to the fem Kyuubi and is Kushina's son, he might grow up with a more refined sense of chakra control. This would make his training easier and he could progress faster in his ninja skills. Also, his attitude towards his enemies might be more understanding, as the fem Kyuubi could have taught him about the reasons behind people's actions. He could become a more diplomatic ninja, trying to find peaceful solutions first instead of just jumping into battle.
Naruto's character might develop in terms of his power control. With Amaterasu in the mix, he has to learn to be more cautious as it's a very destructive force. The Fem Kyuubi could also teach him patience. For example, he may become more strategic in battles instead of just relying on brute force. He could also develop more emotional depth as he navigates the complex relationship with the Fem Kyuubi and the power of Amaterasu.
In many fanfictions, Fem Naruto might show kindness towards the Kyuubi. This kindness could be something the Kyuubi has never experienced before. For example, instead of just seeing it as a source of power, Fem Naruto might try to understand the Kyuubi's past and pain. This could lead to the Kyuubi gradually opening up to her and them developing a deeper bond.
He might be more self - assured from the start. Knowing he's the son of Indra could give him a sense of purpose and confidence. His relationships with Sasuke would also be different. Instead of just a rivalry, there could be a deeper understanding due to their shared connection to the Indra - Asura lineage.
Naruto would likely be more brooding. With Madara as his father, he might inherit some of that Uchiha intensity. He'd probably be more cautious about making friends, knowing the Uchiha's history of being ostracized.
Naruto's character might develop a more diplomatic side. The Senju were often involved in negotiations and maintaining peace. So, he could be more inclined to talk things out rather than jump into battle right away. He would still have his energetic and determined side, but with a touch of Senju wisdom. For example, when dealing with other villages or clans, he would use his Senju heritage to build bridges and find common ground rather than just relying on his strength as a ninja.
Naruto would likely become more in tune with his Kitsune side. He might gain more confidence as he realizes the unique powers it gives him. His relationship with the Fem Kyuubi would also force him to be more empathetic and understanding, as he has to deal with her complex emotions.
In this scenario, Naruto would experience a significant shift in his character. He would be forced to make tough decisions. For example, he would have to choose between the village's rules and his loyalty to the fem Kyuubi. This would make him more mature. His relationship with the fem Kyuubi would also bring out a more protective side of him. He would have to learn how to control the power she represents in a new way. Additionally, being outside the village would expose him to different cultures and ways of life, which would shape his beliefs and values. All these factors combined would transform Naruto into a very different kind of shinobi compared to the one we know in the original series.
Naruto might be more in tune with the Uchiha's sense of pride and honor. He could be less boisterous and more calculating in his actions, as the Uchiha are known for their intelligence. For example, instead of rushing into battles head - on all the time, he would think things through more carefully.
Naruto's development could be marked by a new sense of responsibility. Instead of just aiming to become Hokage for the sake of being recognized in the ninja world, he would now have a greater purpose of living up to his divine heritage. His actions would be guided not only by his ninja values but also by the values associated with being the son of Female Arceus. This could lead to him making different choices in his relationships, battles, and his overall journey. He might be more diplomatic in dealing with enemies as he realizes the impact his actions could have on a much larger scale, both in the ninja world and the divine realm.