I think the fact you're making a list is awesome! But I also agree with the others.
You list is restrictive. I TOTALLY get why. But I think the new T knows that she will never replace your current T. I think she will understand the anger, the hurt, the confusion, etc. I think she's prepared to take an "emotional beating" from you

But remember, it's not the new T's fault that this is happening. Your T believes this new T will be good for you. Try to trust your current T's decision. You do have a right to all your feelings...you have a right to express these feelings to both T's. But the new T is kind of an innocent bystander.
Maybe instead of being so restrictive, reverse it. Tell the new T what you expect for her to do/say. Example: You listed that you don't like silly jokes. Okay, that's fair. But explain it. Say something like: "I prefer if we stick to serious conversations for the time being. I do not feel that this is the right time or place for jokes. I'm really hurting right now, and I would appreciate if you respect this." That way she knows what you want, what you don't want, and why.
Either way, I hope the new T does empathize with you and tries to understand you, and I hope this goes as painlessly as possible!!!