Can I still receive an eyebrow transplant even though I am hypothyroid?

Eyebrow transplants can safely be performed on patients with medical conditions. It’s a very minor procedure and highly effective to restore fullness to the brow

If you've achieved a TSH from 0.2 to 3.5 for 6 months straight, you can consider hair restoration. Be sure to see a physician for a thorough evaluation as not all conditions that give eyebrow loss can be treated with surgical restoration. 

Yes, if your TSH is stable. I like to see it in the lower half of the normal range. See pictures of what can be achieved below and choose an artistic surgeon carefully.