Rso,
Your question really is not that spectacularly difficult to answer. As a matter of fact it doesn’t even get off the ground. I will explain why, listen (read) carefully.
If someone where to attack any of the basic yesodos of our emuna (let’s say an academic bible scholor attacks our belief that Torah is min HaShamayim). He would then challenge us to a debate on the condition that we cannot bring any Jewish sources to support our position. What would you think of his condition? Would you accept it? I hope you wouldn’t. It is not a reasonable stipulation. Our response (provided we where inclined to agree to such a debate) would be that any evidence to our position is acceptable provided that such a category of evidence is generally deemed reliable. The teaching of ones Rebbiem is a category of evidence generally deemed reliable in Klal Yisroel. So…
Unless you can show that:
1. There was a concensus of all (or most) of Gedolai Yisroel that the Lubavitcher Rebbe is not to be relied upon
Or
2. That she is misrepresenting what he said
You have no question.
CS and SH are you still intending to reply to the points I raised in my previous posts?