Take it from me, all this thyroid hype and losing weight, 95% of the time is just that.. hype... im on t4 (Synthroid) and been on it for yrs... i havent lost any weight faster than I did when my thyroid was 'low" as everyone loves to say these days. Now it "might" help with the sensitivity to cold u may or may not have as well as hair loss and a few other symptoms of low thyroid but unless you are WAYYYYYYY low and not in the LOW RANGE, which im sorry to say IS NORMAL, then taking meds wont help much if at all. People need to stop putting the blame on the thyroid, that isnt the only factor in fat loss you know.
also you said " I have a hard time losing weight due to a recent diag. of low thyroid and low testosterone. " What does this mean? that u magically stopped losing weight once u found out u had a low thyroid? maybe you convinced yourself of this or are you saying u have had a hard time losing weight and then found out your thyroid levels are in the LOW RANGE of NORMAL ??
My father said it best, maybe about 8 yrs ago, I was going to dr after dr to finally find someone who would agree my t3/t4 or whatever levels were low and i couldnt lose weight... i convinced myself this was the problem... i was cold all the time all the symptoms of low thyroid... a lot of it was do to extreme weight loss way too fast.. i lost 80lbs at a rate of 6lbs a week so that messed up my system... but what he told me was "you are just going to keep searching and searching and searching for finally one Dr. who will prescribe you thyroid and tell you the 8 other Drs you saw were wrong" He was right... i mean come on how stupid was I or u aor anyone else with this same thinking... so u stop after u FINALLY find a dr. who agrees with u and disregard what the others say? HUGE MISTAKE... and thats EXACTLY what I did..... I ended up at the Atkins medical center in NYC, immediately they put my on time released t3 (Cytomel) guess what? I didnt lose a damn thing after 2 months and i gave up.... i rebounded and got fat REAL FASt....... i ended up trying the Atkins diet... and it actually took all the weight off and more.... I realized it wasnt my thyroid that was SLOW it was my fat ass that was slow... i didnt do enough cardio and my diet wasnt the best it could have been. ALso a HUGE factor for my slow metabolism was MUSCLE MASS... i added a LOT OF MUSCLE over the course of 1-2 years and that jacked my metabolism into high gear and made fat loss a lot easier.
I am on t4 now only becuase my Dr noticed on a routine blood work that it was low and he even thinks steroids in the long term could possibly lower t4.. so he put me on it... i dont really notice anything different.... the only thing that made a difference with me "finally" losing the weight was getting my diet in check and doing the right amount of cardio and of course adding a lot of muscle.
I say try the CKD/Atkins diet and see how it works for u.... the biggest problem with this diet is women... for some reason I think women are born with the notion that fat is BAD... and end up making it a low fat and low carb diet... HUGE mistake.... its a HIGH FAT DIET... so try it for 6 weeks or so and see how it goes. And dont forget the cardio and 3 days of cardio at 30 minutes sorry to say doesnt count
Oh and lastly.. the reason you are depressed is because you cant lose weight.. dont waste time with more useless drugs... attack the PROBLEM (lack of fat loss) not the symptom (depression).