Sure, being a T is a job, and Ts are highly edicated professionals, which means that they have to make sure that they get paid. But I agree completely with scorpiosis' points, and would add that the kind of policy you describe, alcira, sounds a bit infantilising. I fully understand it for music teachers who deal with children who may or may not be thrilled about coming to their weekly lessons (and who aren't paying for the lessons themselves) but even then there surely has to be a cancellation policy where you don't have to pay if you cancel more than, say, a week ahead of time.

My ex-T worked at a place where the centrally-decided cancellation policy was one week's notice, unless you were able to reschedule rather than cancel the time. Since my T, at least, was always fully-booked it was never possible to actually reschedule, at least not for me (on those three occasions when I had to cancel), so I did feel that the policy was a bit strict since it was obviously quite easy for them to fill any empty slots - but it wasn't T's own policy. On the other hand, at least once I know that I wasn't billed for a Wednesday appointment I'd cancelled on the previous Thursday, which meant that T must have just removed me from her calendar without reporting to the central administration that I had cancelled, which I thought was decent of her.