Sansa merely looks at him with faint amusement before tugging at his hand again. If he's incredulous about the offer, perhaps she should remind him that he had asked for it and seems to be in dire need and she's willing to ease the pain without needing the coin a brothel would ask for.

"Yes, unless I displease you somehow. I wouldn't want you to have to lay with me if you found me repulsive, naturally. Come with me and find a room. All I need in exchange is your kindness."