When people are hypothyroid they run high on adrenaline. Cortisol too but cortisol is more like a mediator of sorts, or a facilitator. Most of the unpleasant symptoms are related to adrenaline. Caffeine can also raise adrenaline. In someone who's already adrenaline dominant (due to hypothyroidism) caffeine may be problematic.
I recommend the following 1) con leche from now on. Coffee, with equal parts of milk (preferably whole milk), will always make the caffeine slightly more tolerable. For one milk has a little carbohydrate in it, but it also come with saturated fat, which will slow the absorption. 2) have some salty gelatinous soup. Oxtail soup is a good and classic choice for a peater. I in fact have it for dinner most nights of the week. The combination of gelatin and salt will powerfully lower adrenaline. 3) carrot salad and/or lots of cooked white mushrooms. Stimulating bowel transit and introducing antiseptic fibers to the intestine will reduce endotoxin which powerfully burns through the liver's glycogen holding abilities. More glycogen = steady stream of glucose = less free fatty acids and adrenaline. 4) Consider a liver "defatting" protocol. This can be expensive, but it will do wonders for your health if you actually need it. High dose K2 (>45mgs), glycine, TUDCA, and choline. Not to mention the caffeine helps too. I'd run it daily for about 60 days. 5) Supplemental progesterone can be an excellent tool to crush adrenaline when you're in a pinch or if you're about to sleep. Usually 12-14 drops of Progest-E will kill adrenaline in it's track. 6) Magnesium can be helpful against adrenaline, also just in general for hypothyroid people who lose it easily. Boiled leafy greens like kale is a good choice. 7) Last but not least, getting on thyroid replacement will modulate adrenaline back into a healthy range. But this can take a while, because finding the right dose of thyroid is tricky for a lot of people. It can also initially sensitize yourself to adrenaline even more, making the above suggestions all the more important.