Hermione covered Harry's scars with his shawl to protect his modesty, that was something she could achieve. He was was being exposed to all sorts of horrors on the inside, so the least she could do was protect the evidence of his wounds on the outside. Every now and then she would splay a hand across his chest, to feel his heartbeat, to reaffirm that he was still living. It brought all her own senses into shocking focus, to feel him so viscerally alive beneath her touch, sending a heat rushing up from within her own chest and coating her in the deepest flush.