Rhinophyma? Since it is a medical condition would my insurance most likely cover this? (photo)

Hard to tell if you really have Rhinophyma from the limited photo.  My surgical preference would be to perform dermabrssion to thin the skin.  Laser can also be effective but in many cases can't go as deep as you need.

Insurance companies may or may not pay depending on whether they consider it to be cosmetic.  From your picture, it is difficult to assess whether you have rhinophyma or a bulbous tip.  I would recommend that you go in for a consultation so that you can be examined thoroughly. If you do have rhinophyma, surgery may help you.

Rhinophyma can be covered by insurance when the condition is more severe; difficult to say from the single photograph whether you just have a bulbous nose that can be best corrected with rhinoplasty surgery. Treatment for rhinophyma is shaving off your skin layers which leaves you with a  scarred nasal tip that would make you look much worse.