[It becomes apparent pretty immediately that Crowley was not expecting her to volley that right back at him, because he looks both taken aback and slightly confused (him?? in this economy??) before he decides to roll with it.]

Flattery will get you everywhere. [There's a playful wrinkle of his nose, but the flatter does actually help. He's easy.] Lemme take care of this, first.

[Points to him for managing to prioritize, and the coat earns an impressed look. He can see why the sack offered it up.]

That'll work perfectly, ta. Back in a jiffy.

[He bundles up the coat, winks at Ami, and hops down from the sleigh.

As much as he'd like to linger and make sure the girl stays warm, they have the rest of the damn world to deliver presents to, so he keeps the interaction brief. Matches are bought, the coat is given to the girl, and Crowley blesses her as best he can, wrapping her up in metaphorical warmth and protection, hopefully enough to keep her alive through the night.

The box of matches is in his hand when he returns to the sleigh, and he tosses it to Ami.]

Here's a clue.

[They are, of course, Lucifers. Not technically who he is, but on the right track.]