Literally anyone who receives "death threats" should immediately contact the authorities in their local jurisdiction and get the names and badge numbers of whoever takes the report, as well as a copy of said report. In the United States of America, in the 21st century, anyone who claims* to have received "death threats" but declines to involve the authorities and makes excuses for not having done so can be safely assumed to be lying.
*I am referring to people who make repeated claims of such on the internet, at great length and high volume. People with genuine and legitimate fears in real life such as those with abusive spouses, who do NOT make a living trying to get attention and sympathy online, may be granted the benefit of the doubt or at least understanding when expressing reluctance to go to the cops, though they should still avail themselves of legal resources.