Ok, for a start, what test have you had, can you tell me?
If it's just a TSH test (Thyroid stimulating hormone) then it's a notoriously unreliable test and basically a 'vague indicator' that something might be wrong. You can appear 'within range' whilst still being very ill. It differs wildly from person to person.
The general healthy population have a TSH of approx 1.
If yours is over this, then it's likely your thyroid is struggling.
The range used in the TSH test is usually 0.4 > 4.1
At my sickest (319lb, rapid tachycardia, hair falling out, water retention, breathlessness, inability to do anything, depression etc) my TSH was still in range at 3.9
Still within range.
The test for Hashimotos is also an issue. This tests the thyroid antibodies in your system. The way they got the 'range' for this test was to take 10 'healthy' people from the population and see what their antibody count was. Of course, some of those 10 people had thyroid antibodies, which means they weren't 'healthy' at all.
Therefore the test (depending which you have) is flawed before the get go.
Bottom line, if you have thyroid antibodies, you have auto immune issues.
To get an accurate pic of your thyroid, you would require a full thyroid panel, liver func tests, cholesterol, Free T4, Free T3 etc to understand how you are converting your T4 to T3 within your body. Without that, it's difficult to know.
Have you got your blood tests at all? If you have, feel free to PM me them and I'll take a look for you.
Other things that can mimic thyroid issues are adrenal issues, candida/yeast overgrowth and of course, gluten intolerance.
It's important to look at all these things before you jump on the thyroid bandwagon. Newish thinking on thyroid is that the thyroid exhibits failure or stress when gut problems are at their final stage... ie - your gut protection is gone, and finally your thyroid goes because it's the last kind of linked line of defence.
Also, most good thyroid docs believe you should only treat thyroid AFTER or WITH adrenals. One without the other is pointless.
Sooo, I hope that helps.
If you want to check out adrenal issues, Dr Lam is pretty good...
Comprehensive Adrenal Fatigue Article - DrLam® - Body. Mind. Nutrition®