Certainly true.
Nor does he need to allow everyone who wants to to join in his event where he does take questions.
Also true, but in this case the reporter was the only one there - as a pool reporter representing all of the news organizations.
If those are the kind of questions the pool is serving up at a trade summit photo-op, then the pool is not needed at all.
Go to the video and listen to her “questions” (really: propaganda and accusations) in context.
She wasn’t merely asking questions; she was attempting to disrupt the event, just as Jim Acosta did at the NK summit.
She should have been hauled out by security at that very moment and given a black eye in the process.
Fascinating how you instinctively take the side of opposition to Trump.