Would you suggest braces or jaw surgery to achieve a more feminine look? (Photos)

Thanks for posting the pictures. Additional information is needed to be specific but it does appear that braces and surgery would be the best corrective measure in your case.

From your pictures it appears that you have mandibular prognathism, meaning that your lower jaw has grown too far forward.  I recommend visiting an orthodontist in your area and discuss your possible options.  Orthognathic surgery will likely be a good treatment option for you to either move your lower jaw back, or more commonly, to move your upper jaw forward.  They will refer you to an oral surgeon that will be performing the surgery, who can talk with you more about the specifics of the surgery.  
If you are to have surgery, typically the process starts with braces to align your teeth and get them in an ideal position prior to surgery.  You will have surgery with the braces on, and then continue with braces after surgery for 4-6 months to idealize your bite.