I agree that you should post your question in the thyroid cancer forum.
I might also suggest that you have the option of obtaining a second opinion.
I think the whole thing would hinge on the type of cancer you have; if it's a slow growing one, 2-3 months might be okay. You should get all the details you can, from your doctor so you can make an informed decision.
Boy, I can understand your concern. In addition to the great advice given here, I would post this in the thyroid cancer former and get Dr. Lupo's take on this. Best to you, Karen!