When the TARDIS leans into him, he wraps his arms around her a bit tighter, trying to make himself understand her fragmented explanation. If she is holding onto a piece of her home, does that mean that the rift is involved?

When her mind makes contact with his again, he embraces her there as well, though the state of his mind and her pain makes it difficult for him to focus on anything but that.

He doesn't know what to ask that will produce the answer he needs to save her, so instead he says "Show me. Show me what you're holding onto. How it happened." He sets his head against hers, though he knows that the physical embrace is more a comfort to him than it is to her. "I can help. It'll be okay. Just let me see."