Puffy areola correction techniques
For a female with puffy areolas, the best option for correction is typically skin excision around the perimeter of areola. On a male patient, most often I will remove the breast tissue behind (deep to) the areola, without removing skin. The key difference is that female breast tissue is functional and needs to be preserved for the possibility of future breastfeeding and is also helpful for maintaining nipple sensation.
If you don't want an areola reduction, you may consider ultrasonic liposuction which will allow you to remove likely fat and some glandular tissues that are pushing on and stretching out your areolas.