For most shorter procedures and in the right individual, an LMA or laryngeal mask airway is used which just goes down to the back of the throat. An endotracheal tube will go below the vocal cords. Best to discuss with your anesthesiologist.
There are two issues at play. One issue is your actual physical appearance, which is entirely normal, and the second issue is how you feel about it. You have already shared that you are concerned about your appearance, facial proportions, and nose, and you also feel that you are being ri...
What you describe sounds like nasal valve collapse, which might improve with time. However the amount of improvement may be limited. You should discuss your concerns with your surgeon and discuss the functional concerns you have. Best regards.