Rhinoplasty for Fat Nose?

Most likely rhinoplasty would be able to help you with your concerns.  A wide oversized nose is a common concern of patients.  You need to find a well qualified surgeon to have a consultation with to adequately answer your question however. 

A rhinoplasty is not done for smiling and flaring. A rhinoplasty is a static operation, and even after a rhinoplasty, your nose will still look wide when you smile. Certainly, the nose tip and bridge can be feminized, refined, and improved to further balance with your face.

A wide nose can be reshaped through rhinoplasty. Nose reshaping is one of the most complicated procedures in plastic surgery. The techniques used for the wide nose can vary depending on where the width is of concern.
The top third of the nose is made up of bone and the middle, cartilage and the lower third more cartilage but even more skin. There are different procedures for each area. The upper third requires manipulating and controlled breaking of the nasal bones in rhinoplasty. The middle third requires manipulating cartilage and part of the process of breaking the bones allows the middle third to become narrowed. The lower third requires or can require making the tip smaller and sometimes excising some skin on the sides of the nose can help make the base of the nose more narrow.
Sometimes, it is harder to make the nasal tip narrower if the cause is due to skin thickness. People try to overcome this by defatting the tip or adding grafts to shape it more. Consulting a surgeon who has extensive experience and a deep fundamental knowledge of rhinoplasty is a must for a great result. You want to go to someone with the best training.