Thyroid nodules grow very slowly. So even if you have to wait until the end of November, you will probably be ok.
One thing I'd like to add. Hyper and hypo symptoms often mimic each other.
So your exhaustion can still be a result of your being hyper.
Keep calling and asking for cancellations. As far as I know the threshold for an FNA biopsy is 1 cm, so it mush get a bit bigger. Remember, even if it is cancer, thyroid cancer is slow growing and usually does not spread beyond the thyroid. By November, it may not even get bigger.