You are definatly hypo . I don't even know why she would even question that with a tsh of 5 , thats the test they all like to go by . You should ask for free t3 and free t4 , Even though they might be in the normal range they are probably in the low end of normal, which is still to low . they should be in the mid to upper end of the range.
I suggest you don't let the matter just drop. Get the other MD to test for anti-thyroid antibodies - both TPO and Tg. That will tell if you have the most common cause of thyroid failure known as Hashimoto's thyroiditis.
Whoops. Range should have been .8 - 1.5 for Free T4.
So actually your free t4 is above the range? you posted 1.7 for your free t4 is this correct? IF it is you are above range for free t4 but your tsh is still high. You would still be dx with subclinical hypothyroid.
The t3 you are posting is not free t3 which means that the free t3 could actually be lower than where you are in that range. free t3 is t3 not bound to proteins so it gives a better picture of what is available.
Going by the theory of your fts should be within 10% of each other, you can see by your numbers that yours are not especially if that ft4 is correct, you could have an issue going on with your pitituary or an adrenal issue , I would ask for more testing from your pcp if your gyno doesn't want to do it.