Don't Fret. All it probably takes is a one minute laser procedure to remove some of the left gum to match the right. Ask your dentist if he uses a laser. This is called a plasty procedure.
If the bite can be corrected without causing harm to facial aesthetics, then braces are indicated. However, it seems that you might have a skeletal issue (I see lack of upper lip support) and moderate overbite) which can on luck be corrected by braces then jaw surgery.
Since you are having orthodontics procedure done, your dentist can help you with this issue NOW, if for some reason he can not bring your upper teeth shown , then you can have surgical intervention, which I do not recommend, since it is Invasive. Your other option is to have cosmetic dentistry...
