If the doctor your are talking about is an endocrinologist, s/he has his/her professional reasoning. You must had some symptoms/signs when s/he ordered the TSH, T3/4, right? OTW, you wouldn't see him/her. It is absolutely possible that you had thyroiditis (immune, viral, etc.) with subsequent hypoT thus bumped the TSH up, way up. By the time you saw him/her and draw blood, your thyroid function is recovering, so the TSH was getting down. However, it is also possible that a tumor, be it pituitary or adjacent to it, causing TSH hyper-secretion. Or some ovarian/testicular tumor that can secrete TSH. Even worse, paraneoplastic syndrome can secrete TSH. I am sure all of those, and even more, went through you doctor's mind.
You do need to know you thyroid function (ths scan), and you need a brain MRI if you are young. T3/4 level does not tell the whole story, only SOMETHING about it. For example, mildly functioning Plumer's diease could give you near normal T3/4, but it is a tumor, although benign.