Henry was well aware that this woman, this Ashe wasn't the woman he had married back home. Despite the fact that she looked so very similar to Anne, he knew she wasn't that woman. Even though he knew it was possible for Anne to show up here, he knew she wouldn't show up as a blonde woman. Even Anne Boleyn wasn't that skilled.
But he knew enough to keep Elizabeth away from her, at least for now. He had a feeling Elizabeth would be able to tell the differences between Ashe and Anne, but he didn't want to confuse her anymore than needed. So whenever he and Ashe met up, he secured a babysitter for his daughter. While he wasn't skilled in raising children, he knew that a child of Elizabeth's age couldn't be left alone.
He stepped into the bar a few minutes after the agreed upon time, and slipped into the seat across from the blonde woman. "Started without me, I see."