Su-Jin remained next to Ji-Won's bed for a whole hour. During this entire time she used the wet towel to wash both his hands.
After thoroughly cleaning Ji-Won's palms and fingers, Su-Jin proceeded to move upward along Ji-Won's wrists. In order to have easy access to that area, she first unbuttoned his cuffs, pulling the sleeves up a bit. Then, she gingerly dabbed at Ji-Won's wrists, using the wet towel to first rub the outer area, then the inside of his joints.
All this while she moved slowly and gently, as though she was handling a precious porcelain doll. In the end, she had been so careful with her movements that Ji-Won didn't show any signs of waking up.
He remained unconscious, sleeping quietly, even when she moved closer to dab the towel around the base of his neck. Nevertheless, Su-Jin didn't go further than the collar bones.