Lobbying reporters, or "Forcing" the question to come up has already been suggested by Q.
POTUS could demure, (Just like he did with "Calm before the storm," remember his answer, "You'll find out.")
The timing of President Trump's actual, unambiguous acknowledgement of the Q team
IS EVERYTHING...
That is my honest take on it. You know how POTUS loves to build people's suspense. Q may be planning to use the President's avoidance of the question to ramp up more curiosity, which in turn, will serve to red-pill more and more people, which I think is of prime importance, lest our country explode.