Yeah, it would have been cool to see King press Paige the whole round. That said, she played exactly like you'd expect someone to play in her position, I would think. It was her first time on lead card in a major, I believe?
She certainly seem rattled by how the round started, which seemed to then effect her, putt especially, for the whole round. But that kind of thing happens to most everyone. Dropping strokes an each of the first 4 holes, with pars, when you are two behind the best player in the world, will do that to you.