The relationship could be shown as very loving. Naruto would be a doting father, always playing with the baby and making it laugh. Yugao would be the more nurturing and strict parent, making sure the baby is well - behaved. They would both be very protective of the baby.
If Naruto and Yugao had a baby in fanfiction, the story could start with their relationship developing further before the baby's arrival. Once the baby is born, there would be a whole new set of adventures. The baby might have a special power or ability due to their unique parents. Naruto and Yugao would have to protect the baby from any threats, whether it's from rogue ninjas or other hidden dangers in the ninja world. And as the baby grows, they would face the usual problems of a growing ninja, like going to the ninja academy, making friends, and dealing with bullies. But with Naruto and Yugao as parents, the baby would have a strong support system.
Naruto could be the fearless leader. His strong will and powerful jutsu would make him a key figure in any situation. He could try to communicate with Godzilla or other monsters using his unique ability to understand others. Yugao, on the other hand, could be the stealthy assassin. She could use her sword and her ninja skills to take out threats quietly and quickly.
Naruto has a big heart, so when it comes to comforting Yugao in the fanfiction, he may use his positive energy. He could offer her a friendly smile, a warm hug, and tell her that she's not alone. Naruto is known for his ability to connect with people on an emotional level, and he would likely bring that out when consoling Yugao. Maybe he'd take her to Ichiraku Ramen to cheer her up, a place that always seems to lift his own spirits.
The fanfiction where Naruto saves Yugao could have various scenarios. It could start with Yugao on a mission that goes wrong. Naruto, being the hero he is, might sense her distress. He could then embark on a journey to find her. Once he does, he might have to fight off a group of rogue ninjas. His Rasengan could be the decisive move to defeat the enemies and save Yugao. This event could also have an impact on the overall ninja world in the fanfiction, perhaps leading to new alliances or revelations about Yugao's past.
Perhaps they embark on an adventure to investigate a series of strange disappearances in a nearby forest. Yugao's Anbu experience would be useful in tracking the culprits, while Naruto's ability to think outside the box could lead them to discover the real cause behind the disappearances, which could be some kind of dark jutsu being experimented with by an evil organization. As they dig deeper, they get into more and more dangerous situations but manage to get out of them through their teamwork.
It could be that they are wrongly accused of a crime they didn't commit. Maybe a major incident occurs in the village and they are made scapegoats. So, they are banished as a result of this false blame.
One idea could be a story where Naruto teams up with Yugao to face an enemy who wields the Hyoton. They could start off not trusting each other fully, but as the battle progresses, they learn to rely on one another's skills. Naruto's energy and determination combined with Yugao's stealth and swordsmanship would make for an interesting dynamic against the ice - based attacks of the Hyoton user.
A fem Naruto in a lemon fanfiction with Yugao could be really interesting. Since Naruto is usually male in the original, making the character female changes the dynamics. Yugao, who has her own backstory in Naruto, might be drawn to this new fem Naruto in a way that's different from what we expect. The fanfic could show how they overcome any differences or obstacles in their relationship, and the lemon aspect could add a layer of passion and vulnerability to their connection.
Yes, there are some out there. You can start by looking on fanfiction websites like FanFiction.net or Archive of Our Own. Just search for 'Naruto and Yugao love' and you'll likely find a variety of stories with different takes on their relationship.