Will shaving a man's Adams apple make him sound feminine?

No, it shouldn't. The tracheal shave procedure removes the outer layer of mostly the thyroid cartilage, which means "shield" in Greek, because it's the outer cartilage of the larynx, or "voicebox." It's the inner structures of the voice box, such as the true and false vocal folds, arytenoids, and associated nerves and muscles that produce speech. These are deep to the thyroid cartilage and should not be damaged. There is always this risk, as with any surgery, of damage to adjacent structures, but this risk should be low with carefully performed surgery.

Good question, the answer is no. The tracheal shave, or Adam's apple removal should not change the voice at all.  The removal of cartilage is for appearance only.  The goal in surgery is to NOT touch the vocal cords or change them.  I use a camera so I can watch the cords the entire time to ensure no damage occursBest of luck
Dr Rodman

Removing cartilage to make the Adam's Apple smaller, in the right hands, should not make the voice change at all. The vocal cords have an attachment at the front of the cartilage. I use a technique where I use a camera to visualize the vocal cords in surgery and mark where that attachment is. All of the cartilage above that point is removed. It is a the safest but most aggressive way of doing the procedure. For anyone that doesn't use that technique, it is a guessing game of where that location is. If that area is damaged, the voice can actually get deeper and raspier and is almost impossible to fix. 
Best of luck to you!
Sarah Saxon, MD

Done properly, there should be no change in the voice. Vocal cord surgery to change the voice is a highly technical specialized procedure that is totally different.