The first step is to get a 3D CT scan of the orbits to evaluate the bony differences between the two sides. With this information your treatment options can be determined.
You would have to be seen in person and would likely need a CT to evaluate the bones. Best of luck..
Eye socket trauma
Photo not good. There are likely surgical and nonsurgical options available to improve eye socket and/or surrounding structures. See an oculoplastic specialist.
Sunken in eyes
Hi YouieYour photo did not come through. From your description it sounds as though you had injury to your orbital floor and are left with enophthalmos (sunken in eye). You might also have globe dystopia (eye is lower than the other one). This would best be evaluated by a qualified oculoplastic surgeon. If this is your issue then it is usually addressed with surgery pperformed on the orbital floor by placing an implant to push the eye up and forward. Thank youDr. Schwarcz
Most trauma can be improved cosmetically especially if addressed soon after the trauma. There is no photo of the deformity posted for evaluation. I would suggest that you consult the facial plastic surgeon in your area for a consultation.
Correcting asymmetry after trauma
Unfortunately your picture didn't come through in your message. However it sounds like you may have sustained a facial fracture at the time of injury that healed out of place (malunion). To fix this you may require a surgery to correct the placement of the bones. This should be done my an experienced plastic surgeon that specializes in cranfiofacial surgery as it is quite specialized and can be very extensive. Best of luck.