Yes, it would be different if she said, without mentioning the other client, "I could see you at 1." But by bringing the other client in, she put you in an awkward position. She should have just offered you 1, and if you'd said yes, canceled on the other client without telling you that (not that she should have canceled...but maybe she knew the other client was generally stable or had a flexible schedule, so could come at another time?)

There was one time when MC rescheduled another client for us. We'd had a regular 2 pm Monday slot, and when were scheduling for the next week, he said, "I know you can't come in then, so..." And I was like, "What?" He said he didn't have us in that slot and had scheduled someone else. I said D was off that day, and we'd especially arranged child care for then...is it possible the regular slot had just dropped off his calendar? It had... He offered us the slot before or after, but that wouldn't work for us. While we were sitting there (which felt incredibly awkward), he called the client he'd scheduled for that time and said he'd messed up, and could the client come at one of the other two slots? He could, so it worked out. Had that client been unable to switch (I think he'd literally made the appointment a couple hours before), then I would have said never mind, but because it worked out...