It’s not every day that the White House press secretary is offered $200,000 to appear on camera and explain the president’s decisions — any of them — to the public.

But as one of the most consequential weeks in President Trump’s tenure draws to a close, the world beyond the Beltway is beginning to notice that Stephanie Grisham — unlike her predecessors, colleagues and boss — does not appear to relish the talking-to-the-public part of her job.

In six months as press secretary, Ms. Grisham has held zero briefings for reporters. When she does give interviews, she prefers to leave the West Wing via a side exit and is driven to a studio, rather than walk toward the cameras outside the White House and risk encountering a journalist along the way.

Outside of appearances on Fox News, the One America News Network and the Sinclair Broadcast Group, she rarely goes on TV. Throughout her time in the job, Mr. Trump has wondered why she does not appear on television more often, according to two people familiar with his thinking.