Exactly what Syne said. I've had the same damn issue getting my alternate thyroid levels tested in Ontario. If you are feeling so crap, and if you're able to, you might consider having someone accompany you who can make sure the point is made. Or, alternately, you can lie outright and say you found out that some aunt/cousins have thyroid issues and no one ever talked about it, etc, and so you'd like more testing.

Other levels that are worth testing include testosterone, if you are feeling that exhausted. I'm assuming you had your iron levels and blood sugars done? I'm really sorry you feel so horrible. I have low-but-normal thyroid myself, as well as Vitamin B deficiency and anemia. It's very scary to feel this way.