I don't know the news source but I expect you've checked it out.
It seems very likely to be true. How could a responsible intelligence agency hand over sensitive material to such a man. It may be illegal to withhold information from the president, but it would be extremely irresponsible to pass it to a loose cannon whose actions and discretion cannot be predicted. He probably couldn't predict next week's behaviour himself: it will depend on who ruffles his feathers.
So, in the terms of your question, how do I feel? Reassured.
It's a reliable news source, but "others" will think it's "fake news". I'll see if CNN will report it tomorrow. If not, I'll try to have this question removed.
I like the quote from Stephen Fry at the recent awards .. "let's open the envelope and see who the Russians decided was the winner" ... totally brilliant IMHO