While you have not shown any pictures, pinched nostrils typically means that the lower alar cartilages have collapsed inward after a cephalic resection. They will have a concave shape when viewed from below rather than a straight line or even a convex shape. This can be corrected by placing septal grafts through rim incisions without going through an open rhinoplasty approach again.
Thank you for your question. I am concerned that your septum may cause airway obstruction. It is common for asymmetrical nostrils and facial plastic surgery - particularly Rhinoplasty - can address your nostrils. Please consult with your board certified facial plastic surgeon.