[Maybe in another few decades, he'll actually feel comfortable with the concept of hugging, but he's good enough at faking it.]

Does that mean I've got to stick to this code twice as much as you do?

[Since he's a full blooded demon.

It's a stupid joke.]

D'you want to sleep here the night? Aziraphale won't mind.

[He's not sure if she might be hesitant to be alone, now she's without her powers. Or if she might still be rattled. He's rubbish at all the emotional nonsense, but he can offer a safe place to rest, for whatever comfort it's worth.]