Clint rubs a hand over his face and tries to think of a way to respond.

"I don't blame her," he says of Peggy. "I'd probably react the same way." If he had kids, or a family, or any semblance of a life. Okay. So maybe he'd react the same way if someone threatened the Avengers. Or could have possibly at some point presented a threat to the Avengers. But still.

"If this was my time, I could hotwire a car, find a hotel, and forge myself papers. I could get out of here and disappear and make my own way. But... this isn't my time. I can't handle this myself."

So, Clint realizes, what he's saying is...

"...I think I'm stuck, unless I stay."