Did you get along well with this T besides the being late issue? Do you think you are stuck because of his behavior? (It makes you angry so you can't progress?) I think knowing the answer to these questions will help you choose someone who is a better fit next time around. If you think you are stuck mainly because of his tardiness, but otherwise, things are fine, do you think you can get past this? Or communicate more strongly to your T how important this is to you? Or are you dissatisfied with him in a number of ways?

My T almost always starts sessions late. 15 minutes late is not unusual. But he always gives me the full length of session. I am a pretty casual person so this has not bothered me. When I go see my family doctor, they are always behind schedule too. My T is fantastic and I feel very lucky to have found him. Besides being late he is pretty great in all ways. Sometimes it comes down to a balance. One can tolerate some bad if most is good or if the bad is not a trigger.

Best of luck with this situation.