Hmm! The only character I can think of is Abed from Community -- it's not canonical exactly, but he's def. awkward about touch when he's not playing a character, and sometimes in fic he's touch-averse and it's just normal. For example, Intro to Public Relations:
Troy sighed again. "Abed," he said, because no one had said Abed's name yet this week, and it was important that the viewers knew who Abed was. "I'm sad about the date we had two weeks ago."
Abed looked at him. "Do you need a hug?" he said. He raised one hand and with two fingers beckoned for Annie to come over, then pointed at Troy. "I traded Annie two Milky Ways and a box of Peeps for all my physical contact duties this week," he explained.
"Yes," Troy said. Mmm, hug. Annie was so warm and sweet. It was like being wrapped in a blanket of elbows and love. "Thank you."
"You're welcome," Annie said. "I also accept Reese's Pieces."
![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png){kind=small}
no subject
And here is a gif of Abed enduring a hug.
Your icon is super cute and I wish my worry hat had such good stats. :)