Is it permissible for a person to have nose reduction surgery, because he is
being exposed to ridicule and he cannot bear it?

Praise be to Allaah. 

Shaykh
‘Abd al-‘Azeez ibn Baaz (may Allaah have mercy on him) was asked about
this and he replied:

 I
do not know of any reservations or any reason why this should be haraam,
if it is possible to do it.