(((((((((leacon))))))))))))
My counsellor has messed up my appointment time before too. I was more or less scheduled to see her when she actually had a meeting to be at, and in the end she ended up cramming me in for half an hour (I normally see her for an hour). It was very frustrating, and I felt as if she didn't really want me there. I understand how you're feeling.
Also, if your therapist is suggesting you see her on a bi-weekly schedule, it's not because she doesn't want you, it's more likely that she thinks you don't NEED to see her as often. It doesn't seem like it right now, but it's actually a positive thing. My counsellor did the same thing, because she thought that I was making enough progress that I didn't have to see her every week. When I slipped a little while later (mostly due to some personal trauma), she had me come in every week again for about a month before I got back on my feet, and now I'm back to seeing her bi-weekly again. Try not to see it as being pushed away, but as being given your own space to take care of yourself. Your therapist probably wants to give you some independence now, because she feels you're ready for that. Remember, though, that if YOU don't feel ready for bi-weekly appointments, you are completely free to tell her that. Maybe you could explain why you'd prefer to continue seeing her once a week, or ask her why she feels you should come once every two weeks. All I can suggest is that you be as open as possible with her about this before you make any decisions about switching appointment schedules or therapists.
Sending lots of hugs.