Possible to Reduce the Size of an Adam's Apple?

Hi,
This can certainly be reduced and is commonly performed for transgender patients. It sounds as though you would desire a reduction rather than attempted removal of the prominence altogether. An incision can certainly be made higher up (above the region of the Adam's Apple) and this is common practice for that surgery. 
I recommend finding a plastic surgeon familiar with chondrolaryngoplasty or "Adam's Apple Reduction."
All the best,
Dr. Blagg
Austin, TX

Yes, this is a relatively quick surgery that can done under local anesthesia (don't have to go to sleep) through a small incision at the top of your neck.  To make sure it is as safe as possible I would use a small camera in your throat to watch your vocal cords through the surgery.  

Bryan Rolfes, MD

For more than 35 years I have done this procedure hundreds of times without any complication in both males, females and transgender patients. It is safe and the incision is placed in a crease above the Adam's apple. It can be done under local anesthesia without pain.

The adam's apple prominence can be reduced by shaving down the cartilage. Historically this was done via an incision in the skin right over the cartilage. It is now done via a longer but less visible skin incision higher up along the natural neck skin crease that is easily visible in the photo that you submitted. It is not a commonly performed procedure.

Adams Apple is one of the important symbol in marking gender, Adams apple reduction is most commonly performed as Facial Feminization Sugery in MTF SRS. It can be done with excellent results with tracheal shave also known as thyroid cartilage reduction surgery .
The main aim is to make the facial feature more feminine, although normal male can also go for this procedure.