Have Asymmetrical Nasal Bones, One Side is Pushed Out, What is the Solution?

Without seeing pictures it would be hard to adequately answer your question. Nevertheless, in general, it is reasonable to correct a bulging or asymmetric nasal bone with an osteotomy.

You provide a good description of your concerns, however, without photos it will be difficult to provide you with an accurate solution to your problem. I would address the concerns about your nose with you surgeon. If you have lost confidence, then perhaps a second opinion is warranted. Thank you for sharing your question. Best wishes.