Welcome to our forum and I feel so sorry for you. You've had your thyroid gland removed completely and then left to 'get on' with it yourself along with disabling symptoms.
Make an immediate new appointment for a blood test. We have to have follow-ups every six weeks with a blood test and an increase usually until we feel much better and I shall give below some information. I shall also say that the doctors and endocrinologists appear to be the people to avoid if you want assistance. That's why we have so many on our forum. We have to read, learn, and ask questions on the forum and in a few weeks will know more than most doctors.
First Blood tests always have to be at the very earliest, fasting (you can drink water) and if taking thyroid hormone replacement allow a gap of approx 24 hours between last dose and test and take afterwards. This helps keep the TSH at its highest point as it drops throughout the day.
You should request TSH, T4, T3, Free T4, Free T3. (the doctor or lab may not do so as they believe TSH and T4 are sufficient). Not so but you can get these tested privately if necessarily. Ask for B12, Vit D, iron, ferritin and folate to also be tested. We are usually deficient and everything has to be optimum.
Always get a print-out of your results with the ranges for your own records and you can post if you have a query.
My personal opinion and I have a thyroid gland, is that someone who has no gland at all should be given a combination of T4/T3. I bet if you do a FT3 it will be low when it should be towards the top of the range.
Also thyroid hormone replacements should be taken on an empty stomach with one full glass of water and wait about an hour before eating. Food interferes with the uptake and also avoid tea/coffee for a few hours. Caffeine also interferes.
Don't worry members are very helpful, particularly the ones who were left out-on-a-limb.