I just noticed your post was for an MD, If you want an MD, Click on Experts Tab at the top of the page, this is a thyroid forum, where you can discuss symptoms, ask questions and gather info. Welcome. FTB4
It is common to be cold with Hashimoto's, since hormones do affect body temps, I have Hashi's and get cold sometimes, I will be cool while others are warm in the same room, My body temps run cooler than normal anywhere from 94.5 to a high of 97.6, but never higher than that. Have you taken your temps?, to see if your body temps are cooler also.
Good Luck FTB4
Temperature sensitivity is sometimes seen, but if stable on thyroid meds, would look at other causes as there would not be much more that could be done from thyroid standpoint.