T is the one who screwed up in a colossal way.....and probably hurt other clients too when she took the day off and saw no one. It is about her as others have said, and this is not professional behavior; it's behavior that is hurtful, detrimental to clients. But it does NOT mean that you are insignificant or that you are nothing; you ARE significant, you are somebody, you are the only YOU that is in this world and you DO mean something to your creator!
I too hope you can talk this through with T so that you both have a chance to air your feelings about the situation and that you know what her side of the story is......(((((((Lauru)))))))