You need to see an Endro doctor. He will answer all these questions and make sure theres not something more going on with your thyroid. GP's only do the basic thyroid test an Endro is your best bet.
In my experience, my energy level was restored. I wouldn't push it as far as the workouts go. The thyroid control a lot of things, include heart rate and BP. Get it under control first.
Good luck
I will ask about the other tests. Thanks for your helpful information.
Did your doctor also test your FREE T3 and FREE T4? Those are the actual thyroid hormones and much more important than TSH in diagnosing and treating thyroid dysfunction.
What happened? Impossible to say at this point. You probably want to investigate the cause of your hypo. Most, by far, hypo in the developed world is caused by Hashimoto's thyroiditis, an autoimmune disease. Your immune system sees your thyroid as foreign protein and attacks it much like it attacks bacteria or viruses. A simple blood test for thyroid antibodies will show if they are elevated. TPOab and TGab must both be tested as some of us with Hashi's are TPOab positive, soem TGab positive and some both. Hashi's can take years or even decades to cause symptoms, or it can go like gangbusters.
You will get your strength back, but not until thyroid hormone levels are once again stabilized. It takes 4-6 weeks for a new dose or a changed dose of Synthroid to reach its full potential in your blood. Very seldom is the initial dose your optimal dose. The usual pattern is to wait 4-5 weeks, retest, reevaluate symptoms, adjust dose and repeat until you get it right.
Is it okay to push yourself? I wouldn't. When thyroid hormone levels are low, our bodies don't heal as well as they should. Little injuries can linger and turn into bigger injuries. I'm not telling you to become a couch potato, but listen to your body...go a little easy on yourself.