[No, it's not what he means. He means that something bad might have happened to Arthur so soon after being involved with an Endless; as he said, fate is ever unkind when mortals are involved.

But he lets that thought go unspoken, too. Instead, he allows to borrow some of Arthur's relief when the healing takes place, removing pain and injuries alike.

Dream angles and lowers his head, his jawline gently nestled in Arthur's hair.]

As long as you like. Would you like to sleep here? I do not require use of the bed, and you still look so very worn.