It depends. In some smaller, more specialized fanfiction circles that focus on unique or darker themes, it could be very popular. For example, if there is a particular fandom where the idea of a 'doctor monster' is already established and the concept of a hurt child character is relevant, then it might gain a decent following. But in the general fanfiction landscape, it might not be as well - known.
One common plot element is the initial encounter. The hurt child, whether physically or emotionally hurt, meets the doctor monster in a situation full of mystery. Another element could be the doctor monster's attempt to heal the child in an unconventional way. For example, using strange potions or methods. And there's often the element of the child's fear and gradual trust - building towards the doctor monster.
In this fanfiction, perhaps the doctor monster has special powers that normal doctors don't. The hurt child might be injured physically or emotionally. If it's physical, the doctor monster could use its unique abilities to treat the wounds. Emotionally, it could offer comfort in a very different way than a typical person would.
There could be other characters in the fanfiction who react to the relationship between the hurt child and the doctor monster. Some might be afraid and try to keep the child away from the doctor monster. Others might see the potential good in the doctor monster and support their connection.
In such a fanfiction, perhaps the girl could initially be frightened by Monster X. But then, she might discover that Monster X has a kind heart. For example, Monster X could save the girl from some other danger in the story.
It could be that they meet at school. Uraraka is the new girl in class and Deku is the shy but friendly boy. At first, Uraraka is a bit intimidated by the other kids' quirks, but Deku encourages her. He shows her how he's also been working hard to develop his own quirk, even though it was a late - bloomer. They bond over their insecurities and shared love for heroes.
Perhaps Maya gets hurt in a more emotional way. She could find out that her father, who she has always had a complex relationship with, has some big news that makes her feel abandoned again. This causes her to act out and push her friends away. But as the story progresses, she learns to face her feelings and accept that she has a support system that will always be there for her no matter what.
One common theme could be betrayal. Maybe Rap Monster's character is betrayed by someone he trusts, which causes the 'hurt'. Another theme might be self - doubt. He could be facing challenges that make him question his abilities or worth.
One possible scenario in a 'Monster High Clawd hurt' fanfiction could be that Clawd gets injured during a werewolf football game. Maybe an opposing player uses a dirty trick and Clawd ends up with a sprained ankle. His friends, like Draculaura and Frankie Stein, then have to take care of him and help him through the recovery process.