A person who has his/her larynx removed is called a laryngectomee.
The bad news is the threat to life that laryngeal cancer poses because of its proximity to many lymph nodes in the neck. Should the cancer break through to these nodes it could be spread throughout the body.
The good news is that this can be totally prevented in many cases by totally removing the larynx (laryngectome).
The bad news is that once this is done, there is no valve at the top of the trachea to prevent food and liquid from spilling into the Trachea.
The good news is that this can be remedied by attaching the upper end of the trachea to a hole (stoma) in the neck. The patient then breathes though this hole in his/her neck. Now, there is no connection from the lungs to the mouth.
The bad news, of course, is that there is now no vocal folds nor air flow to produce sound for speech. Its hard for any one to imagine the isolation that people experience when they can't speak.
NOTES: Visit a lost chord club.