Yeah that is out of order. Either she can see you or your appointment is bumped. She can't have it both ways, doing the appointment begrudgingly and being rude throughout. If it was going to inconvenience her that severely she should've stuck to her guns and turned you away.
I had that once where I was admittedly about ten mins late. I called to say so and profusely said sorry. They just kept on and on about it, it's like how many times can I apologise. I actually said, it's fine I'll just leave. But they don't want that so why be an arse once you've decided you are serving someone?