I'm sorry you've been put in this situation by your therapist. The problem is, you like her, so you will accept whatever you can get. I wonder if this is the kind of message she would want you to get from therapy? It might be worth bringing it up to her that way so she can better understand the impact.

It's great that she's found a way to keep you on, so at least you know it's not a matter of her not wanting to see you, but surely she can see how putting you in a situation where you have to accept being bumped for higher priorities can be damaging if you're someone who tends to let others take advantage of you or if you feel you have to apologize for wanting basic things that you've paid for (you may not be...just putting that out there).