It’s a machlokes haposkim ASK A POSEK.
The general consensus is if there is a case of medical need or if the person’s nose is so disproportionate that she feels psychological trauma from the ridiculous look, then it’s permitted.
There is always a risk with general anesthesia. Depending on the expertise of the ENT, there may be other harmful side effects.
The hashkafic argument against cosmetic surgery is Hashem created the person as the most beautiful being. As long as the “deformity” is not causing a medical issue (physical or true mental) how can a person choose to modify and improve hashem’s creation?