Have you read about Attachment theory? She sounds like she has an Avoidant Attachment style.

Her behaviour sounds like it's a result of trauma, and the her living environment. Some children learn to take care of themselves because there is no one around who will do it for them... or they have to be the caretakers for the others around them.

I had a lot of similar behaviour to her when I was young - although I did enjoy being read to as it was one of the few things that my mom did with me. Oh, and make food because I wasn't allowed to! But I comforted myself, and I liked being alone most of the time (I liked being with friends, and when other adults were visiting I liked to be around then, because I didn't have to worry about my mom or brother as much).

Sometimes not liking to be hugged or cuddled is because you aren't used to it because no one does that simply out of love. It could be an expected/forced/uncomfortable thing - like when a kid is forced to give a distant relative a hug or a kiss when they don't know them and are sort of scared of them. It could also be a result of any abuse (I'm unclear if it's the girl, or the mom, who's been sexually abused?). If it's the child, then yeah, physical touch or proximity could definitely be triggering.