Touch-starved Agent Carter

We've started rewatching season 2 of Agent Carter (about which more anon), and we've just gotten to the part where Ana Jarvis gives Peggy a hug and Peggy looks so SURPRISED, as if she hasn't been hugged since she was approximately eight, and I feel like touch-starved Peggy is an amazing fic premise, although sadly not one that is compatible with Peggy/Dottie because you know who has probably not been hugged ever? and therefore would not know how to do it? Dottie.

Actually, touch-starved Dottie would also be an amazing fic premise. But Dottie would definitely become the woobie of the fic if she were involved, what with the whole "what is a hug?" thing she has going on.

Is touch-starved Peggy thing that exists out there? Or is this an untapped mine of possible angst and cuddles?