Well, one possibility could be that she inherits Naruto's determination and Kurenai's intelligence. Maybe she's a prodigy in ninjutsu, and the plot could revolve around her trying to make a name for herself in the ninja world. She might face challenges like discrimination because of her famous parents, but overcomes them with her own skills and the friends she makes along the way.
Perhaps she's born with a unique ability that neither Naruto nor Kurenai have. This ability draws the attention of some bad elements in the ninja world who want to use her for their own gain. The story could be about how she and her friends, with the help of some of the older generation like Naruto and Kurenai, fight off these threats and protect the village.
The plot could be about her discovering a new jutsu that has a connection to both Naruto's and Kurenai's clans. She could be on a quest to master this jutsu while also dealing with the political unrest in the Hidden Leaf Village. As she delves deeper into the jutsu, she uncovers secrets about her family's past that change her perspective on her role in the village.
One possible plot could be that Kurenai is obsessed with Naruto because she sees in him the potential to bring great change to the Hidden Leaf. She might secretly train him in some unique jutsu, which could cause some friction with other ninja teachers who think Naruto should follow the regular training regime.
In a fanfiction scenario, perhaps Kurenai is in a dangerous mission and gets trapped in an illusion created by an enemy. Naruto, with his strong will and the help of his Nine - Tails chakra, is able to break through the illusion and save her. He then helps her complete the mission and they become closer friends as a result.
One possible plot could be that Naruto, after achieving great things in the village, catches Kurenai's eye in a new way. Maybe they start training together and gradually develop feelings during their sparring sessions and discussions about ninjutsu. Naruto's positive attitude starts to chip away at Kurenai's more reserved nature.
She could be strong - willed like Naruto. He has always been determined in the face of difficulties, and their daughter might inherit that. And from Kurenai, she could get her intelligence and calmness. Kurenai is a smart kunoichi, and their daughter might be able to think clearly in tough situations.
It could be something like Sakura, after Naruto's friend. It would be a way to show his respect and friendship for Sakura. Or maybe something related to fire, like Kaen, since Kurenai is associated with fire - based jutsu.
The plot could involve Kurenai protecting Naruto more fiercely from the start. Since she is a jonin, she might be able to shield Naruto from some of the early discrimination he faced in the village. Also, Naruto could be more involved in the affairs of the genjutsu - related missions and training, and his relationship with characters like Kakashi and Iruka could be different as Kurenai would play a different role in his life compared to Kushina in the original story.
One possible plot could be that Naruto discovers Kurenai and Anko are trapped in a genjutsu created by a rogue ninja. Naruto, using his own powerful chakra and his experience with breaking genjutsu, manages to free them. Then, together, they fight off the rogue ninja.
Well, perhaps in this fanfiction, Kurenai somehow gets involved in Naruto's life in a very maternal way due to some unforeseen circumstances. For example, she might be the only one who can understand a new power that Naruto has awakened. So, she decides to guide him like a mother would. She would teach him how to control this power, and also give him emotional support which he lacks so much. In the process, their bond grows stronger, and they face many challenges together, like fighting against new and powerful enemies who are after Naruto's power.
Perhaps there was a misunderstanding. Kurenai might have thought Naruto was involved in something bad. For example, she could have been misled to believe Naruto was working with a group of rogue ninjas. So she attacks him, and Naruto has to prove his innocence while also dealing with her attacks.
One possible plot could be that after the war, Naruto and Kurenai start to work closely together on rebuilding the village. As they spend more time together, they develop feelings for each other. Eventually, they get married and face challenges like dealing with the expectations of the village and Naruto's duties as a hero while also building their own family.