Iggy Azalea. (Photo: Greatstock/Splash) Los Angeles - Iggy Azalea has thanked her plastic surgeon for her "fabulously perky boobs". The 26-year-old rapper shared a picture of her and her doctor on Instagram and praised him for the work he has done on her breasts. He is the reason I have Fabulously perky boobs... "Summer is here and you #CantFakeGoodSkin #drghavami (sic)." Iggy has been open about having surgery on her nose and breasts and insisted it is nothing to be ashamed of.