The director of national intelligence gave the Justice Department little warning before she demanded an investigation. President Trump made clear this week that Tulsi Gabbard was back in his good graces. A few weeks ago, Mr. Trump excoriated Ms. Gabbard, one of his top intelligence officials, over a video she filmed during a trip to Asia that he saw as self-promotional, and she was left out of some meetings in the lead-up to the U.S. strikes on Iranian nuclear facilities, according to two people with knowledge of what happened. But on Tuesday...