One Side of my Face Looks Older Than the Other. What is the Best Way to Address This Issue?

Laser resurfacing can provide better skin contraction than a chemical peel, so the laser can help texture, color, fine lines and some tightening. This does require significant downtime. Both sides can be treated by the energy settings might be set to reach deeper and/or more dense settings may be used on the more damaged side.

While it certainly is possible to have more damage on one side of the face versus the other from sun exposure, it is likely you have similar damage on the other side of your face but to a lesser degree. You may want to consider having both sides of the face treated and perhaps to a lesser degree on the better appearing face. It seems appropriate that the advice you are receiving from your dermatologist is good but without pictures no further comments can be made. I hope this information helps.

Without photos or an in person exam it is impossible to give you any meaningful or accurate advice that you can hang your hat on so you must take all of this advice with a grain of salt, but many people do see more sundamge on their left side for the reason that you mention.  Your physican will be able to give you good advice after you are examined.  Good luck.