We have all been there in one way or another. Swallow the loss and move on. It is the sort of thing that, once done, you will never do again. As my Mama used to say, "Education can be expensive."
You might want to email the scheduler, admit the mistake, apologize and offer to re-shop. That sort of professional approach is usually well received in this business, even if the scheduler is not at liberty to permit a re-shop.
Based in MD, near DC
Shopping from the Carolinas to New York
Have video cam; will travel
Poor customer service? Don't get mad; get video.