Well, another thing to keep in mind is that taking insulin regularly can affect the absorption of your thyroid medication. PWD who use insulin should have their TSH levels regularly monitored for this so that they are getting the right dosage, due to this absorption. Particularly, if a continuous amount of insulin, like the pump, is used. When the body doesn’t absorb the proper amount of thyroid hormone, it can still present symptoms of Hypothyroidism, including weight gain. When the Thyroid is receiving the adequate amount of hormone, metabolism will speed up, and thus, you will get the best amount of energy out of food (ie, glucose). So yes, your thyroid medication can raise blood sugar some. Probably another good reason why limiting carbohydrates is so ideal for many of us, as it cuts down the need for more insulin.