sweet little tabby kitten.
You may want to contact a vet/humane society about getting the kitten clean/shots/etc. The vet can also help you get the kitten acclimated.
When we got Spazzy (may she rest in peace and my DH gets credit for the horrible name, I wanted Princess but Spazzy is the name that stuck

)
but anyway, when we got Spazzy, she was a bit feral. I kept her in the master bedroom that had the attached bathroom. I slept on the floor to get her used to me.
She eventually left the bathroom and cuddled in the bed after a day or two. It was so awesome when she made the move.
Since Pepper is still dirty, you will want to get him/her clean so that bonding can begin in the warm bed.
Good luck! Pepper is adorable. Tabbies are very cuddly cats by nature. Food and warmth work wonders. I am very proud of your DD, she has a lot of heart.