Tamara shifts a bit when she feels you hug her through the skin of your tail, letting out a soft mewl and pressing her head against the fleshy wall, as if trying to nuzzle or something. That's mostly unconscious reactions, and soon she curls back up on herself, yawns and falls into a deep sleep, happy, feeling warm and safe and protected, the various body sounds she hears only soothing her and driving her into a state of deep sleep.