No your eyelids are not droopy.
Actually you have bilateral upper eyelid retraction and proptosis. I recommend that you see your internist to be assessed for your thyroid status. You photograph is consistent with thyroid eye disease. A careful assessment by an oculoplastic surgeon is appropriate. The American Society for Ophthalmic Plastic and Reconstructive Surgery maintains a website that has a regional directory (ASOPRS dot org) that can help you find a well qualified oculoplastic surgeon.
Tired lids but prominent eyes
- You need a thorough examination by a Board Certified Ophthalmologist to evaluate your eyes,
- And a Board Certified Endocrinologist to evaluate your thyroid and other hormones,
- The photo is inconsistent with your description of the problem,