Your FT4 is at 43% of range.
Your FT3 is at 47% of range.
Both no where near optimal.
As noted above RT3 is another piece of the puzzle that is needed.
Most DRs are taught to treat to ranges and NOT symptoms...
I will add some other links to the one Systemlord provided that have great sound information to consider. Dr. Childs does an amazing job of distilling each blog post to a level that us non-DRs can understand:
The Connection Between Hypothyroidism and Depression (+Treatment)
How T3 Thyroid Hormone Helps Treat Depression (+ Other Treatments)
High TSH Symptoms, Causes & What it Means
4 Conditions that make TSH Levels Inaccurate + "Optimal" Ranges & More
Also another great site with great info.
Barbara has a book out that covers all thing thyroid and is easy to read.
Get it.
While not a DR., she has spent many, many, many years researching thyroid physiology.
This book is at a Doctoral theses level..... All points are backed up with legitimate medical studies and research... ALL chapters are source footnoted with many pages of references at the end of each chapter.
http://www.tiredthyroid.com/index.html
http://www.tiredthyroid.com/what-labs.html
http://www.tiredthyroid.com/optimal-labs.html
Now after all that you might see if you can find a DR. that treats to "symptoms" and is not tied down to "ranges".
As Systemlord noted above, finding a GOOD DR. that truly understands the thyroid is no simple task

BTW both sites have a wealth of additional information on the thyroid, so look around both.
One last point is that Dr. Child's blog post points are also hyperlinked to the underlying study / research, so if you come across something that rings true you might want to print out the underlying study / research paper to take to your DR. Some DRs. may get offended... If so you don't need that DR., but others are open minded and will read the information and consider it. THAT is the type of DR you need....