Hyperthyroidism :: Experiencing Symptoms Despite Medication And Normal Bloodworks?

Before I ask my question I would like to stress that I easily get scared hearing about disease, so I am asking that please, no one begin telling of anyone having the symptoms I have and then it turns out to be xyz terrible disease that they died from, because then I will just get so extremely scared. My question is strictly regarding hyperthyroidism.

I am hoping someone can calm me I am new to the forums and new to hyperthyroidism. I have been on medication for 2,5 months and mostly feel just fine, but in the early mornings, from about 05 am, I feel symptoms, which wake me up- heart racing, feeling anxious, a little shaky, preventing me from going back to sleep. It seems to peak at about 07.30 am, and then gradually lessens until it is completely gone at about 09-10 am. But during my period and ovulation and also if I have not slept well (I suffer from insomnia) it seems to linger somewhat longer, sometimes through the afternoon or even the entire day.And this scares me, because I am medicated and my bloodworks say I'm within normal range.

One doctor said yes, I can be feeling symptoms despite medication/normal bloodworks and then another doctor said no I cannot, so now I don't know what to think :'(

The doctor who said I cannot be experiencing symptoms suggested it is mental anxiety, but that just does not match what I am experiencing, because if I get anxious about something, there is always a trigger that will get my mind going and then my body follows. But this is right opposite- it is my body that starts going and then my mind follows. It feels just like the symptoms I had before I was diagnosed and got treatment, it does not feel like getting anxious about something, it starts in my body, not my mind.