In this fanfic, Naruto's personality would still be full of determination. He would be determined to succeed in his fake cop role, no matter what challenges he faces. He might be a bit of a rule - breaker in the sense that he would follow his own moral code more than the strict police regulations. His friendly nature would also be there, and he'd likely try to make friends with his fellow 'cop' colleagues, sharing his positive energy with them. And his competitive side would come out when trying to prove that he can be a great 'cop' despite not having the traditional training.
Naruto would probably be his usual enthusiastic self. He'd be eager to take on the role of a cop, seeing it as a new and exciting adventure. His naivete might show when it comes to the more complex aspects of police work, like dealing with political issues within the force.
One possible plot could be that Naruto is on a mission in a modern - day setting where he has to go undercover as a cop. He might use his ninja skills in unexpected ways while pretending to be a regular law enforcement officer. For example, he could use his speed to chase down suspects much faster than normal cops. He might also struggle with the rules and regulations of the police force as he is used to the more flexible ninja code.
Naruto would still be his energetic self. He might be excited about wearing a yukata, showing it off to his friends with his usual exuberance. His positive attitude would probably make others around him also enjoy the yukata - related events more.
Naruto would likely be portrayed as a bit melancholy at first. He's used to being around his friends, and being alone on Christmas makes him feel a bit left out. But he still has his positive attitude deep down. He might be shown looking at the Christmas lights in the village with a sense of longing, yet also determination to make the best of the day.
Naruto might become more calculating. Urahara is a very strategic person, and under his training, Naruto could start thinking more before acting. For example, instead of just rushing into a fight, he'd analyze the situation first.
His personality would likely be a mix of Zabuza's stoicism and his own inherent determination. He might not show his emotions as freely, but deep down still have that strong will to prove himself. He could also be more distrustful of others at first, having grown up with Zabuza who is a bit of a loner. However, as he gets older, he might start to break out of that shell and show more of his true, kind self.
Naruto might become more confident, bordering on cocky at times. The Super Saiyan 4 transformation comes with a lot of power, and with that power, he could start to believe he's invincible. But deep down, his core values of protecting his friends and the village would still remain. He might also become a bit more impatient, as the power coursing through him could make him eager to jump into battles quickly.
His kindness would be a major trait. He'd be very gentle and patient with the orphans, always there to listen to their problems. For example, if an orphan is sad about not having a family, Naruto would sit with them and share his own feelings of loneliness as a child.
He could be portrayed through his appearance. For instance, one personality might have different - colored eyes or a distinct style of dressing. His behavior would also change. When in one personality, he could be very talkative and energetic, and when in the other, he could be silent and brooding.
Naruto's personality could become more brooding. Having the power of the Death Note might make him more aware of the darker side of power. He might not be as open and friendly as he usually is, since he has this secret and rather sinister tool at his disposal.
Naruto's personality might not change drastically at first. He would still be as determined and head - strong as before. However, as a girl, he might become more aware of how others perceive him. He could become more empathetic towards female characters in the ninja world, understanding their struggles better. Also, he might be a bit more cautious in some situations, especially when dealing with male characters who might act differently towards him now.