That's just a side effect of being in the news at all. Even before the internet was in everyone's pocket, celebrities had paparazzi and crazy stalkers. Bad people are going to do horrible things but that doesn't mean we should stop propagating all news thanks to them. You're basically advocating for a heckler's veto.
> Most findings say that the acting party's actions cannot be pre-emptively stopped due to fear of heckling by the reacting party, but in the immediate face of violence, authorities can force the acting party to cease their action in order to satisfy the hecklers.
https://en.wikipedia.org/wiki/Heckler%27s_veto
which specifically goes into violent reactions:
> Most findings say that the acting party's actions cannot be pre-emptively stopped due to fear of heckling by the reacting party, but in the immediate face of violence, authorities can force the acting party to cease their action in order to satisfy the hecklers.