Honestly he'd have preferred it if she just left before they got up, but it wasn't entirely likely she'd manage to wake up early enough given how late it was and the state she was in.

Eames follows Arthur downstairs after a few minutes (and a pair of trousers,) because he needs coffee too much to wait in bed for it. He's been too stressed out and angry to manage even a little bit of sleep, and he likely won't manage it until much later today either. At some point his body with probably wrest control from his emotions and force him to get some rest.

Whether or not she's awake, he doesn't cast a glance Nancy's way once he notices her, just walks straight through to the kitchen. He's just going to sit by the window and demand Arthur come and sit with him and hope that Nancy just slips out while they're both in here.