He does trust her. It's not an unqualified trust, but it's trust all the same. People who believe in debts don't tend to take out the people they owe. Especially when they know how good their agency is at tracking people down.

And, well. She doesn't feel like a threat, right now. Clint tends to pay attention to his senses.

"Sure," he says, before clearly pulling himself straight and looking more awake as he dials a number.

"Hello, sweetheart," he says with a smile on his face and an overly-perky tone, shooting Romanoff a thumbs up as he heads back towards his room. The faint sounds of disgruntlement over the phone might be audible to her, anyway. "Yeah, I love you too. Hey, look--"

The door shuts, and the sound cuts off with it.