I am not so sure I agree with you:

You know what, I didn't just agree to it. I recommended it. "Maybe you had better go deal with that. I'll wait." Is this not just a decent thoughtful thing to do? Should you not be proud of yourself?

Now why the **** would I do that if I was just going to be angry about it, later? Why would you be angry? You did right, you helped someone else, maybe on reflection you might have said, 'go deal with this person, I will call you and reschedule,' but you did not, so it goes, hindsight is easy. Maybe next time.

Why the **** would T agree? Perhaps they felt the other person's need was urgent, perhaps they too on reflection might have said they were sorry and it would be better to reschedule. But they didn't. No one is perfect.