Well, when Gallup inquires about trust, it asks about people's confidence in the media to report “fully, accurately and fairly.” Those are three different metrics. A factually accurate report might fail to capture the full scope of an issue and differing perspectives on it. Conversely, a comprehensive, balanced article might include an error.
"Why Faith in the Media Might Not Be as Low as Polls Suggest" is from the April 09, 2017 Politics section of The Washington Post. It was written by Callum Borchers and narrated by Jenny Hoops.