I used to come earlier when I saw my T at hospital and when I started to see him private he said that I should come at my time not earlier or later and when I met him next his door 5 minutes earlier he told me to wait.

Your T reaction wasnt normal, maybe he had bad day and he was annoyed before, maybe he is lil bit unstable. If he is sorry and understands he acted wrong then I hope it would be okay.
I suggest you to come right at your time, maybe your T wants a little break between clients and doesnt want to work over his time, also if you come earlier how can you know that there are no client inside, it can be disturbing for previous client too.
I had situation when someone came in while I was still there but my T came to say that person to wait a little bit. Now he closes the door.