Jackie, I have just looked at some past posts and you were diagnosed four years ago and have a TSH of 4.67 which is disgraceful.
Your doctor has a cheek to blame you for putting on weight, when it lies at his feet by giving you only sufficient levo to bring your TSH to just in to the top of the range.
We have to read and learn yourself. It's not a blood test every twelve weeks when we have a high TSH. Their method could make you more unwell.
You can say, if they didn't increase your dose after this test, that they have to raise it by 25mcg to bring it to 1 or lower. That you have taken advice from the NHS Choices for information and guidance Thyroiduk.org.uk.
All tests should be the very earliest possible, fasting (you can drink water) and allow 24 hour gap from your last dose of levo (which should be taken on an empty stomach with one glass of water) and take them afterwards.
Also ask for B12, Vit D, iron, ferritin and folate too. Everything needs to be tip top.
Blood test every six weeks until you are symptom-free and optimum minerals/vitamins.
(I am not medically qualified but had undiagnosed hypothyroidism)