I would have told her that this is my quiet time. I need to have lunch and have a break. It's very hard to get a child to the point of "quiet" for quiet time or nap when they are just dropped off. You deserve your break. I'm sure she get's a break at work, why shouldn't you? If she doesn't like it ... too bad! She's one day a week. If she doesn't play by your rules move on... find someone with better hours for you. She'd be lucky to find anyone to do just one day of week care for her.