Facial symmetry is and interesting topic that is often talked about because patients commonly seek consultation to correct facial asymmetry. Any species that chooses a mate utilizes symmetry in this choice. Symmetry reflects an underlying, solid genetic makeup.
Humans are an interesting creature in this respect. We know from studies done by our anthropology and sociology colleagues that humans rely heavily on the symmetry to define beauty and choose mates, but only to a point. Interestingly, once that line between symmetry and asymmetry becomes relatively close, one side of our brain becomes dominant over the other. With assessment of beauty, our right side of our brain dominates our left, and thus the right side of the face we are looking at becomes more important, The emphasis on symmetry is gone, and other features such as size and shape of eyes begins to take precedence over symmetry.
Even those people perceive as being the most beautiful have significant asymmetry. Denzel Washington always comes to mind, being from Hollywood, and you often hear that he is attractive because of his facial symmetry. When you really look closely and breakdown his two sides, very significant asymmetry exists, but they are subtle enough to stay below our right brain's radar and are dominated by his other facial features.
The truth is, chasing and achieving true symmetry with surgery is nearly impossible. The good news is, surgical results with respect to symmetry should fall well within that range of our brain's ability to perceive differences. Thus when true symmetries do exist, they can be corrected to pleasing levels.
The best thing you can do is take yourself out from under the microscope and remember that nobody else looks nearly as closely as you do. What you see as a major flaw is a likely imperceptible to those looking at you, literally.
To guarantee you're receiving the highest level of care, seek out a dermatologic surgeon, oculoplastic surgeon, facial plastic surgeon or plastic surgeon who is board certified and fellowship trained in one of these "core four" cosmetic specialties.