An Adam's Apple in males and females can be removed through surgery and you'll do just fine without the Adam's Apple.
The Adam's Apple is just a useless lump of cartilage that sticks out from the throat and although it's most common in males some females may also develop an Adam's Apple during puberty.
Anyone who hasn't gone through puberty yet does not have an Adam's Apple and you only grow and develop the Adam's Apple during puberty and they are not present in prepubescent children.
The surgery to remove an Adam's Apple can be costly though and health insurance will not cover the cost of Adam's Apple Surgery removal because removing an Adam's Apple from your throat is just a cosmetic surgery procedure.
When I asked around at surgery centers about the cost of Adam's Apple Removal I was quoted between $3,000.00 to as much as $6,000.00
To me it was not worth the cost as it really does not bother me to have the Adam's Apple.