I don't want to have surgery
Porcelain veneers are tiny shells of dental porcelain which get bonded to the front surface of your teeth to improve their appearance. Veneers can be used to address a wide range of smile imperfections, before you make any decisions consult with a skill cosmetic dentist that specializes in TMJ and that have been awarded and done many cases. Seeing an orthodontist can also help give you some feedback and help you with your decision.
no, veneer is not recommended in yr case. there r chances of chipping off veneers due to unwanted forces on veneers because of underbite. so best option for u is braces / aligner treatment. later on for aesthetic enhancement u can go for veneers.