Shaky hands and anxiety can be due to being hypo as well. From a very long list of symptoms that can be related to hypothyroidism, note this section.
Emotional:
Tension
Irritability
Wanting to be solitary
Mood swings
Anxiety
Personality changes
Feelings of resentment
Jumpy
Easily startled
Lack of confidence
Nervousness
A good thyroid doctor will treat a hypo patient clinically by testing and adjusting Free T3 and Free T4 levels as necessary to relieve symptoms. So you need to either convince our current doctor to give you a therapeutic trial of thyroid med to raise your Free T3 and Free T4 levels as necessary to relieve hypo symptoms or else you need to find a good thyroid doctor that will do so. You can get some good insight into clinical treatment from this link written by a good thyroid doctor.
http://www.hormonerestoration.com/Thyroid.html
You mentioned you have tested for B12. You also should test for Vitamin D and ferritin. Hypo patients are frequently too low in the ranges for those as well. You mentioned losing muscle easily. For that reason, you might also test for Free Testosterone level.
Therein lies my confusion.
I got these test for shaky hands (tremors since childhood) which occurs in case of hyperthyrodism. I also have thining hair (probably due to Male pattern baldness). I also suffer from General Anxiety Disorder. Am skinny Fat as I lose muscles easily.
I also got vitamin B12 and Glucose levels tested which were normal.
In the words of a good thyroid doctor, "The free T3 is not as helpful in untreated persons as the free T4 because in the light of a rather low FT4 the body will convert more T4 to T3 to maintain thyroid effect as well as is possible. So the person with a rather low FT4 and high-in-range FT3 may still be hypothyroid. However, if the FT4 is below 1.3 and the FT3 is also rather low, say below 3.4 (range 2 to 4.4 at LabCorp) then its likely that hypothyroidism is the cause of a person's symptoms."
Your TSH is toward the high side, but TSH is affected by so many things that its main value is to distinguish between primary and central hypothyroidism.
So I'd say that your lab results are indicative of being hypothyroid. Also, cortisol is an antagonist of thyroid hormone, so your cortisol level would tend to reduce the effect of your thyroid hormone levels and push you toward being hypothyroid.
What , if any, symptoms are you having?
Reference range
FT3 - 2.1 -4.4
FT4 - 0.8-2.7
TSH - 0.4-4.2
cortisol, serum -2-23
Please post the reference ranges shown on the lab report for the Free T3 and Free T4 results.