I have hypothyroid disorder.
A TSH in your range isn't too bad, actually. Enough for treatment, yes, but it isn't horrible. Mine was around 5.8 and is considered very mild. I am on 75mcg of Synthroid. I do feel better and the weight is coming off, but still slowly for me. I feel better, but it's not a miracle or anything like that. So, just a heads up. If you get meds, 1) don't expect and immediate result, and 2) don't expect a huge improvement. It won't make you feel like you are super energetic. For me, I just kind of "forgot" about being tired, because I wasn't anymore. I didn't notice a super increase of energy or metabolism. I just started to feel normal I guess. Good luck. I hope your doc gets you on the right meds/dose soon.