Due to the Werther Effect, does discussing this influence the behavior? Isn't it why all discussions of the topic are banned in certain country's news... not for embarrassment or to hide trauma, but to prevent it from becoming a memetic epidemic?
You can't forbid discussion. You can ask that media doesn't report details of method, or location, or speculate on reasons. We know from interviews from survivors that each of these increase risk.
I hope the hospitalisation goes well! (I know very very little about hospitals outside England.)
Sure you can forbid discussion. In fact, there are some things you legally can't say: state secrets (i.e., agents in harm's way), shout "fire" in a crowded theater, slander or be Geraldo Rivera discussing troops-in-contact battle-plans.
https://www.thedailybeast.com/teen-copycat-suicides-are-a-re...
Also "Influence: The Psychology of Persuasion" by Robert B. Cialdini