They would probably be very concerned. Jungkook might be the first to approach her and offer his help. They'd do whatever they could to make her feel better, like giving her a warm hug.
The plot could involve BTS members showing their kind and caring side. They might take the hurt female kid to the hospital, comfort her, and try to find out what happened to her. Maybe they'll also use their influence to ensure her safety in the future.
There could be a theme of growth and learning. Maybe through the encounter with the hurt kid, the BTS members learn something about themselves or about the importance of helping others. Also, the theme of hope might be present. Their presence and actions could bring hope to the kid who is in a difficult situation.
Finding a specific 'bts meet kid is hurt fanfiction' can be a challenge. Fanfiction is a vast world, and there are so many different stories out there. One thing you could do is to start by looking at the most popular BTS fanfictions and then skim through their summaries to see if any match what you're interested in. Also, consider leaving a request for this type of fanfiction on fanfiction - related forums. That way, other fans who might know of such a story can point you in the right direction.
In some plotlines, the hurt child could be in a hospital where BTS is visiting for a charity event. They notice the child is withdrawn and sad. BTS members start to interact with the child, sharing stories, singing, and gradually breaking down the child's walls. The story could then follow how the child recovers both physically and emotionally with BTS as a positive influence, and how their relationship develops over time.
I'm not entirely sure specifically what that particular fanfiction is about as it could vary greatly. It might involve the members of BTS meeting a hurt hybrid (which could be some sort of half - human, half - something else creature in the fictional world of the story) and then there could be a plot based on whether they decide to help (y for yes) or not (n).
There may not be a lot of easily accessible 'bts meet hurt child fanfiction'. However, if you're into this kind of concept, you could reach out to BTS fanfiction communities on social media platforms. Ask the members if they know of any such stories. Maybe start with Tumblr or Reddit's BTS fan sections. They might be able to point you in the right direction.
Well, you might like 'BTS and the Abandoned Hybrid'. In this fanfiction, BTS meets a hybrid that has been abandoned, which is somewhat related to the concept of a hurt hybrid. Another one is 'BTS and the Hybrid Guardian' where the BTS members become guardians of a hybrid. And 'BTS in the Hybrid Realm' which takes the BTS members into a realm where hybrids exist and they have various interactions with them.
Well, it could be about a BTS member meeting a fan, and then something goes wrong like the fan getting hurt from falling perhaps while trying to get close to the member. Maybe there's chaos at a fan meeting and the fan trips and falls in the rush.
One common theme is unrequited love. Fans in these fictions might love a BTS member deeply but know it can't be reciprocated. Another theme is disappointment. For example, when the group doesn't meet the fan's expectations in the story. Also, isolation is a theme, like a fan feeling left out in the fandom.