splitimage, since your T has such a busy schedule now, I wonder if she would have greater success keeping her appointments if she didn't have you at the same time each week? Maybe just schedule your appointments 1 or 2 weeks in advance. Then both she and you would have your schedules more or less set, and she could schedule you at a time that works for both you and her that week. I know it wouldn't give the extra security that having the same time each week does, but at least it might cut down on all the last minute reschedulings.
My T and I only set appointments 1 or 2 at a time because we both have very busy schedules. There was a time he gave me a regular appointment time, but those days are over--we are both very busy and need flexibility. I'm fine with it. He can almost always offer me a time that I can attend each week. In fact, I quite like going to his office at different times of day. I don't usually go in the morning, but when I have, I found I really love the morning light in his office. Helps put my issues in a "new light" too.

Really a nice change. (Also, when I go in the morning, I have noticed he is really clean shaven, so it gave me an appreciation for the daily rate at which his whiskers grow, lol.)
I hope, that at the very least, you could discuss your feelings over the reschedulings. Then hopefully the two of you could brainstorm about ways to deal with this.