Rather than seeking 'lemon' fanfiction, consider exploring fanfictions that deal with Carol Danvers' backstory, her powers, and how she overcomes challenges. For example, there might be great stories about her training, her first encounters with powerful villains, or her friendships within the superhero community.
Finding a 'Harry Potter Carol Danvers Lemon Fanfiction' might be a bit tricky. Carol Danvers is from the Marvel universe and Harry Potter is from its own wizarding world. While fanfiction often crosses boundaries, this combination is quite rare. You could try searching on specialized fanfiction forums where people might be more likely to experiment with such crossovers. But again, be cautious about the 'lemon' aspect as it may involve inappropriate content.
One possible plotline could involve Carol Danvers being mistaken for a new type of magical being in the Harry Potter world. As she tries to figure out how to get back to her own universe, she starts to learn about magic and share her superhero knowledge with the Hogwarts students. Without the 'lemon' aspect, it could be a story of cultural exchange between the two universes, with lots of action and adventure as they face challenges together.
In fanfictions, Carol's character can develop in response to the challenges she faces with the Avengers. For instance, if they face a powerful alien threat together, she might have to dig deep and find new aspects of her powers. This could lead to her becoming more confident and self - assured. Her character might also develop in a cultural sense. If she's from a different planet or has a different background than the other Avengers, she could teach them about her culture, and in the process, become more accepting of Earth's cultures as well. She may start to see the value in things like friendship and family that the Avengers hold dear, which could change her perspective on life.
To develop Carol Danvers' character, you could explore her insecurities more. Maybe in the fanfic, she doubts her ability to live up to Mar - Vell's legacy at first. For Mar - Vell, you could show his more human side, like his hobbies or his sense of humor. They could develop through their conversations. For example, Mar - Vell could share his experiences with Carol, which helps her become more confident in her powers.
A plot could revolve around a time - traveling device. Carol Danvers accidentally activates it and is sent back in time to when Mar - Vell was at the peak of his heroics. They form an unexpected bond as they work together to stop a time - altering villain. Or perhaps there's a story where Mar - Vell's powers start to manifest in Carol in a strange way, and she has to figure out how to control them with the help of Mar - Vell's spirit or memories.
Maybe they are both attending a superhero conference on an alien planet. There's a mystery to solve about some missing technology. Peter's street - smart thinking combined with Carol's powerful abilities help them in the investigation. During this time, they start to have feelings for each other and there are some cute, awkward moments between them.
In the comic universe, Carol Danvers isn't a mutant. Her powers come from a different origin and set of circumstances. It's a distinct aspect of her character development.