What's the lab's reference range for FT4? A typical range is 0.8-1.8, which you can see puts you on the floor of the range. The rule of thumb for FT4 is midrange, and that's based on where many of us have to be for symptom relief. Rather than saying you are in range, your doctor ought to be saying "we have lots of room in this range to play with the numbers and see if it helps symptoms".
A number of years ago, AACE recommended TSH reference range be changed to 0.3-3.0. As you can see, labs and doctors have been slow to adopt the change. Even 3.0 is too high for most of us.
There is much to discuss, but first, please tell us about any symptoms your are having.