As a specialist in oculofacial plastic surgery for over 20 years, I have to say that a photo like yours indicates this should be addressed sooner rather than later.
The photo shows the left lower eyelid pulled down very significantly. It’s clear that you have a condition called ectropion, which is the lower eyelid turned from the eye. I can also assess from your photo that you have lower eyelid retraction which means that eyelid is pulled down. With the absence of a physical exam, based on your photos you have a combination of lower eyelid retraction and ectropion.
Ectropion and lower eyelid retraction is not unusual and can happen. However, in your case, it is important that we protect your eye. With your eyelids pulled down so much, there is a risk of irritation and infection. Your doctor is right that a cortisone injection will stop the scar tissue formation that caused the tension and pulling. But I would like to add that you have a relative shortage of skin which adds to the tension of the outer corner of the eyelid. This area is called the lateral canthal tendon and you might need a revisional eyelid surgery to protect this area.
Patients with these types of issues can be managed with topical lubrication even if their eyelid is retracted or they have ectropion. Cortisone injections and other conservative therapies such as a massage can also be done. However, an advanced procedure is necessary to protect the eye. I hope that was helpful, I wish you the best of luck, and thank you for question.