The question of why he's offering is still on the table, after that answer; 'consider it', yes, but words matter. Consider it. What is it when she isn't examining it and interpreting it the way she's been given permission to?

...it's still better than the inn, and 'not asking' isn't the same as 'not wondering'. Tom is someone worth knowing (strategically, even; they both have their uses), and that's somewhere to start, too.

"I doubt the inn will mind freeing up a room, then."