The chances of the nhs funding it are very slim these days due to there tight budget, my grandmother had her boobs done on the nhs in the 70s and i tryed to get mine done with them but it was a bit of a waste of time and humiliation. You have to go to your doctor and if they feel it is affecting you phsycologicly they will make a case which has to go before a panel, which decide wether to give you funding or not. I had to take pictures and right a letter explaining how it affected my day to day life.. The doctor even refered me to a counciller to help my case, then i had to wait about a month for a letter back which explained that they dont do it for phsycological reasons anymore (such as depression) because there is no evidence and they would only fund mastectomy patients or if you had a hereditory condition, so i assume they would be the same about a nose job. However it also depends on what area you live in so it may be worth a try x