Hair loss

Hi, I have been diagnosed with Hypothyroidism years back and have been on medication since. I have lost considerable amount of hair over the years. Tried changing medicines, but nothing worked. Now my scalp is quite visible and it has been bothering me so much. I have lost hope that It would ever grow back. Now I have made an appointment with a hair transplant place, ( http://www.seagerhairtransplant.com/women/ - http://www.seagerhairtransplant.com/women/  ) What I am worried about is, will transplant work well for someone with Thyroid issues? Is it a wise option?