Yes, there are likely to be such fanfictions out there. The Naruto universe and the concept of the Red Ranger from Power Rangers are both very popular, so it's not uncommon for fans to cross over these ideas in fanfiction. You can try searching on popular fanfiction websites like FanFiction.net or Archive of Our Own.
One idea could be to have the Naruto characters end up in the Power Rangers Ninja Steel universe. They could learn about the Ninja Steel powers and use their own ninja skills in combination. For example, Naruto's shadow clone jutsu could be used in a creative way during battles against the villains in the Power Rangers' world.
One idea could be a crossover with the Power Rangers Dino Charge. The Ninja Steel Rangers could team up with the Dino Charge Rangers to fight a common, powerful enemy that threatens both their worlds. They could combine their powers and weapons in unique ways, like creating a new zord by merging the Ninja Steel Megazord with the Dino Charge Megazord.
Well, it could start with Naruto somehow being transported to the Power Rangers' world. He might be chosen as the Red Ranger because of his natural leadership skills and his never - give - up attitude. Then he'd have to learn how to use the Ranger powers while also dealing with the villains in that world. Maybe he'd use his ninja skills in combination with the Ranger powers to fight the bad guys.
In 'female red ranger fanfiction', one of the main themes is self - discovery. The female red ranger has to figure out her place in the team and within herself. Also, heroism is a big part. She's constantly saving the day. Additionally, there's the theme of sacrifice. Sometimes she has to give up something for the greater good. For example, in some stories, she might sacrifice her personal time or relationships to protect the world. There's also the theme of growth, both in terms of her powers and as a person.
One great storyline could be the Black Ranger having to face a new, powerful enemy alone. Maybe he gets separated from the rest of the Power Rangers and has to rely on his own ninja skills and inner strength to survive and defeat the foe. Another could be a story where the Black Ranger discovers a new power within himself that has been dormant all this time. It could be a power that has a connection to an ancient ninja legend, and he has to learn to master it while also dealing with the regular threats the Power Rangers face.
One possibility could be that her fellow Power Rangers would become extra protective. They might go on a more aggressive hunt for the villains responsible, fearing for Hayley's safety and their team's future without her full strength. Maybe they'd also bring in some new tech or powers to make sure she can heal quickly and be back in action.