First of all you have to convince your GP of the psychological impact it is having on you. If your GP is convinced that (the above) statement is genuine then they will refer you to an ENT clinic near you.You now have to convince the consultant of the same. At this point, the consultant will most likely talk you out of it, and so it's important that you give more details on how much this is psychologically effecting you, because they need to be convinced that the procedure is not for cosmetic reasons only. For example, you have depression, it prevents you from interacting or even leaving the home, you feel suicidal etc. Hopefully now they will now offer you an appointment or ask you to wait for the next available one. Usually nose jobs are only accepted on the NHS if you have physical difficulties (breathing, pain, repeated infections etc) however, the NHS will accept cases where it is a severe mental case.Don't give up, note down how it effects you and ask your GP to refer you. The hard part is convincing the ENT consultant.