I have thyroiditis and taking Eutirox. Will this cause increased sweating?

Hello doctor,

I am 23 years old, male, I have had thyroid issues since a young child, after a few years they concluded it was thyroiditis. Currently I take Eutirox 75 mg and have for about a year, before that I took 50 mg. Ever since 6-8 months (I am not sure about the timeframe) I have had issues with extreme sweating under armpits, for example I am in a 22ºC room and start sweating insanely, I go outside lay on the hot sun and I stop sweating. 2 minutes after putting on a shirt there are considerable sweat marks on my armpits, 10 minutes after it is a huge sweat mark. It is also irregular, some days it is crazy other days not so much. I have never had issues with sweat, ever.

On the right side of my head I now have 8 white hairs that definitely were not there a year ago, even 6 months ago it was just 2 hairs. Attached are my lab results, the doctor said it was normal, However, during the conversation I said my breakfast was a couple eggs, sometimes pancakes, and fresh juice, he replied it should be milk and bread, so I have began looking for another doctor for that reason. What can I do to find the best doctor and would it be ok for me to go back to Eutirox 50 mg while I look for a new doctor or can this cause a serious issue?

X-ray resume says the following (translated by me):

Thyroid with normal dimensions, right lobe measuring 14 x 50x13mm, and the left lobe 13 x 53 x 12mm, with lobulated shape. Its eco structure is diffusely heterogeneous with multiple areas hypoechogenic poorly defined, aspects to which is associated the increase of vascularization on the Doppler color study, changes compatible with thyroiditis. Near the inferior pole of the left Lobe some reactive ganglionic can be observed, the biggest measuring about 11 x 5 mm.