No, it probably takes years for us to be finally diagnosed, so it stands to reason that it does take time to get to an optimum of medication which will give you back your health.
I hope your doctor isn't one who stops increasing according to the TSH and listens to you re your symptoms etc.
When you are due a blood test (6 weeks, I think when first beginning is best) make the appointment as early as possible and fast. You can drink water. Leave about 24 hours between your last dose of levo and the test and take it afterwards.
Always get a print-out of the results for your own records and post if you have a query. Also get B12, Vit D, iron, ferritin and folate tested if you haven't done so. We are usually deficient.
Also taking Vitamin C with levo helps to convert the T4 to T3. You take levo with a full glass of water and don't eat for approx 1 hour. Some prefer to take levo at bedtime - in that case two to two-and-a-half hours should be allowed after eating before taking levo.