Let's go back to the reason you would question anyone about anything, you would do that if they were wrong. In best cases, to get an explanation, although that same explanation is something you might not be given because you would not understand based on your limited knowledge.
In essence, Islam's authority is only a problem if it is human in origin. If it is divine in origin, then that's not a problem, but actually a requirement. Same as a layman can't come and question a doctor's judgement, of course, assuming that the doctor is actually a good one, also same as we would expect that a doctor's diagnosis be full proof and sure, also assuming perfect medicine. Should Islam talk in a tone that would imply it might not be sure about what it's talking about?
If we accept that Islam is from God then its tone and unquestioned/unquestionable authority is normal, expected and indeed necessary, if we disagree with that, only then would that be a problem.