Butina has been accused of working with a high-powered Russian official and two unidentified US citizens, trying to infiltrate a pro-gun rights organization in the United States and influence the United States' foreign policy toward Russia.
Rosenstein last week announced that 12 Russian intelligence officials had been charged with computer hacking and other offences during the 2016 election.
Coats has been under scrutiny since he said he wished Mr. Trump had not met one-on-one with the Russian leader, expressed dismay that the president had publicly undermined USA intelligence agencies, and appeared surprised by the revelation that Mr. Trump invited Vladimir Putin to a meeting in Washington later this year.
But another US official called those accusations unfair and said Coats would never try to undercut or embarrass the president.
President Trump has also stated, in recent days, that swift denuclearization is not a priority, saying recently that there is "no rush" and "no time limit".
"I don't know what happened in that meeting", he said.
"It was important to take that stand on behalf of the intelligence community and on behalf of the American people".
Trump was also reportedly surprised at the backlash and negative media coverage of the meeting, where he refused to condemn Russian Federation for interfering in the 2016 election.
Trump also said he misspoke in Helsinki.
Watch: Trump denies Russian Federation still targeting U.S.
He did, however, tell CBS News this week that he holds Vladimir Putin responsible for election meddling. "So, certainly as the leader of a country you would have to hold him responsible, yes".
As for the broader global community, she said, "we ask you to hold tight as we go forward".
Trump ignored advice to confront Putin over indictments Trump hotel charging Sean Spicer, 000 as book party venue Bernie Sanders: Trump "so tough" on child separations but not on Putin MORE is reportedly growing frustrated because efforts with North Korea are not progressing as quickly as he would like. There was also Putin's controversial suggestion that the US could sit in on the questioning of the 12 indicted Russians - but only if the USA would allow Russia to question of Americans whom the Kremlin has accused of committing "illegal activities". The State Department, however, later called it "absolutely absurd". The resolution came after Republican leaders barred a vote on two other Russia-related measures.
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