Baldwin is asking if Trump's tweet "constitutes a threat" to his family's safety.
On Saturday night Baldwin reprised his Trump impersonation for an "SNL" skit that recreated the president's Friday morning speech about the border, the budget,
By "SNL" standards, it was par for the course. But Trump – who has fired back at the show several times in the past – fired up his Twitter account again on Sunday morning.
Trump called "SNL" unfunny and unfair, indicating that he probably saw at least parts of the episode from the night before.
"He's watching," CNN media analyst Bill Carter said on Sunday's "Reliable Sources."
Trump's tweet asked, "How do the Networks get away with these total Republican hit jobs without retribution ?
Many social media commenters just shrugged off the president's talk about "retribution" for a sketch comedy show. But Peter Baker of The New York Times noted on Twitter that "no other president in decades publicly threatened" retribution "against a television network because it satirized him."
In the past, Trump has also suggested that NBC station licenses should be challenged, without any obvious follow-up.
Trump's frequent tweets against the media – primarily targeting news outlets that he calls the "enemy of the people" – have caused considerable concern to NBC and other companies.
Meanwhile, Senate Minority Leader Chuck Schumer demonstrated another way for a politician to respond to an impersonator.
"Weekend Update" showed Schumer – played by Alex Moffat –