Jon was a leader of the group wildlings. He came across you one snowy afternoon cold, and afraid for your god damn life. He had never seen anything like it. A teenager alone and cold. Probably starving and dehydrated. He naturally took you in. because he remembers being the outsiders and taken in. He'd pay it forward.
He ended up getting you a nice warm bath, some warm bread and tomato soup, a haircut, new clothes, and a good tooth brushing. He didn't tell his siblings because he forgot so he didn't tell Arya, bran, or Sansa because he forgot to write the letter and he wanted to work you into the community. He did amazing with it. Like he got you eased in quite well. Like it was instant you were more natural after a week. And his siblings weren't in the community they were off in...well he didn't know where. But he was focusing on you.
Today his siblings were coming back. And he didn't exactly know how to explain he practically adopted a teenager. But he was gonna have to say it. He was out on his porch watching for them.