You are more than slightly out of range, the range now stops at 3 not 5.5, your doc doesn't have the new info.
I agree with Bellajoon, you also need to ask for the Free T4 and Free T3, those are the active thyroid hormones that are in the blood, that is what your body is "running" on, the TSH is put out by the pituitary and in many cases does not reflect your true thyroid function.
Your symptoms will slowly disapate over time, it takes 4 to 6 weeks for the meds to really kick in, your symptoms will gradually get better although you may have flareups where some days you feel worse. Don't get discouraged just come here for support, we are all going through the same thing.
And the best thing you can do for yourself is educate yourself on thyroid, may doctors just don't have any idea how much it affects everything in ones body and many docs do not understand how to properly read the test results, sad, they have the degree, but many have the "if your numbers are in range then you should feel good" attitude. A lot can depend on where in the range your numbers are.
Always ask for copies of your test results, and if you have any questions about them post them here with your lab results and lab ranges, there are many here who will help you understand them.