Hello – Yes, the doctors prefer to see your TSH come up to the “normal” range, even if T3/T4 are OK. Did the doctor talk to you about adjusting your dose?
For those who have suppressed TSH, but normal T3/T4 and feel well at that dose, it can sometimes be a challenge to get the doc to leave the dose where it is. (Shirley on the forum has had this experience). But since you noted that you have the shakes, working with the doc to reduce your dose of the Naturethroid might make a difference.
I’m not a doctor, but 700 calories a day does NOT sound like enough to get all the nutrients that your body needs. I was on 1300 cal/day for a while, and I was tired and cranky, cranky, cranky!! Perhaps a consult with a nutritionist might get you on a better path.
Take care – and please keep us posted!