I have been trainin with women who is pear shaped. Her trouble area and most unconditioned part of her body is legs & thighs. Our workouts are focused on leg/butt. We do alot of cicuits w stregthening, cardio & now plymetrics for her lower body. I train her at her home 2x a week. She lost 5 lbs (goal is 10)and lots of inches everywhere except for thighs (only 1 inch). Its been 3 months.
As a person with Hypothyroidism I emphathize with this woman as one never knows from day to day how they are going to feel.
With that being said, I am assuming she is being treated for her thyroid.
I would suggest, if she can tolerate it, HIIT in small doses, even 30 second intervals until she adapts
Food intake is also very important with both of her medical issues!