What was the reference range for the FT4? Is it safe to assume that there was no FT3 run? Your TSH is definitely below the current range of 0.3-3.0, so was it a month ago and I really understand your doctor saying these levels are "fine". Depending on the range for your FT4, it's possible that you could be hyper, but of course, there's no way of knowing for sure without an FT3, which is the active thyroid hormone.
Have you been diagnosed with a thyroid condition?