Based on this result you are still hypothyroid and need to start on low dose levothyroxine or natural dessicated thyroid. The goal is to bring the Free T4 value in middle range without giving regard to TSH value. Also bring your Vitamin D value in between 50 to 80 which is also crucial when treating hypothyroidism.
No, I recognized that those were FT4 and fT3, based on the reference ranges shown.
I also meant to mention that in suggestion 6 on page 2 of the paper there are suggested tests. Of those you won't need the antibodies tests, but I do recommend always testing for Free T4 and Free T3 (not Total T4 and Total T3), along with testing at least once Reverse T3, and cortisol.
It is quite common for a person to have hypothyroid symptoms even though their test results fall within the so-called "normal" ranges, and have their doctors tell them they are fine. This is because doctors have been trained to recognize only primary hypothyroidism (Hashimoto's Thyroiditis). They erroneously believe that central hypothyroidism, like your case, is a rare event. In reality, central hypothyroidism is rare only because it is overlooked so often. With central there is a dysfunction in the hypothalamus/pituitary system that results in TSH levels that are too low to adequately stimulate the thyroid gland to produce hormone.
Even though the doctor said your test results are fine, in reality your Free T4 and Free T3 are too low in the ranges, resulting in hypo symptoms. Due to the erroneous assumptions used to establish the ranges, they are far too broad. You can read about all this in the following link. I highly recommend reading at least the first two pages, and more if you want to get into the discussion and scientific evidence supporting all that is recommended for thyroid patients.
http://www.thyroiduk.org.uk/tuk/TUK_PDFs/diagnosis_and_treatment_of_hypothyroidism_issue_1.pdf
In the paper you will find that a good thyroid doctor will treat clinically (for symptoms), by testing and adjusting Free T4 and Free T3 as needed to relieve symptoms, without being influenced by resultant TSH results. Symptom relief should be all important, not just test results. You can also read why the ranges are too broad and why Free T4, Free T3, and TSH do not correlate well with hypo symptoms, and why patients should be treated clinically.
So you need a good thyroid doctor that will treat clinically, Many of us have found that Free T4 should be at least mid-range, and Free T3 in the upper part of its range, and adjusted from there as needed to relieve symptoms. I should mention that with central hypothyroidism, this usually results in suppressed TSH, which then causes many doctors to decide you have become hyper and want to reduce your med dosage. That is wrong. There is a scientific study that showed a suppressed TSH happened almost every time when a central hypothyroid patient was adequately medicated. You can also find that in the paper.
Hypothyroid patients are also frequently too low in the ranges for Vitamin D, B12 and ferritin. I urge you to test for those and supplement as needed to optimize. D should be at least 50, B12 in the upper end of the range, and ferritin should be at least 70.
I should also point out that a good thyroid doctor does not automatically men an Endo. It sounds like your Naturopath might be the type you need, and after reading the link above you can help guide your treatment.