We have been doing Rhinoplasty for the last 30 years. We use Khawaja's Simplified Rhinoplasty techniques under local anesthesia. There is minimal or no swelling, no bandages and results come fairly quickly in weeks as compared to conventional techniques, where results are delayed for months or years.
In your case, more cartilage has been removed on one side of the nose than the other, leading to asymmetry. It can be corrected and perfect symmetry can be achieved.