It was unclear whether or not Rosenstein, who oversees major parts of the Justice Department, including the special counsel's Russia probe, would keep his job. Amid conflicting press reports Monday, the White House said Rosenstein will remain in his job for the time being, and he will meet with the president one-on-one on Thursday.
If Rosenstein were to depart, it was also unclear whether he would be fired, or he would resign. In Rosenstein's case, this could make a big difference as to whom Trump can select to replace him as deputy attorney general.
The question of who would oversee the Russia probe is slightly different, however, because Rosenstein has been effectively wearing two hats since Attorney General Jeff Sessions recused himself last year from any role overseeing Robert Mueller's investigation. One hat is that of deputy attorney general. The other is that of acting attorney general for the Russia probe, because Rosenstein was acting as a stand-in for Sessions.