Same thing happened to me. My conservative, old school GP thought I was just being neurotic because I did have a history of depression. He wanted to put me on antidepressants, but I knew it wasn't in my head and that something was physically wrong with me.
I was so ill, I had to take medical leave from work because my reflexes were too slow and I couldn't concentrate. I also suffered from severe insomnia and constant anxiety. My brain was so muddled that simple things like setting the table or parking the car were a challenge. The least little thing would make me cry.
The doctor finally agreed to test me "if it will make you happy." But by that time my TSH level had shot up to over 130 (normal range was 0.4 - 5.5). Any higher and I would have been in the hospital.
I don't know why doctors are so resistant when women report thyroid symptoms, but I imagine it might be that they think we only want thyroid supplements so we can lose weight.