"intense question" is correct and usable in written English.
You can use it to refer to a question that requires deep consideration, or one that requires an emotional response. For example, "His intense question made me pause and reflect on my own values."
Marina Valmy de Haydu, the executive vice president of the Christine Valmy beauty schools, said most glues used to apply false eyebrows were designed to withstand the rigors of stage lights and intense questions about the national debt.
The Patriots looked confused on defense and anemic on offense, and the result left Coach Bill Belichick facing some intense questions for releasing Lawyer Milloy, a defensive captain and a Pro Bowl safety, five days before the game.
Consisting of three rounds of intense questions regarding children's and teen/YA literature, it was a huge success and, though I have not arranged to do another show this year, a version of ITV's The Chase is in the planning stages for charity events later in the year.
Marriage-equality attorneys have racked up dozens of victories over the last year and a half, with judges directing increasingly intense questions to opponents of equality.
Would you delete a tragic event, the memory of a person, or a major part of who you are? Silvera's debut novel asks some intense questions about love, love, and sexuality.
Cloud-PLBS provides both a web portal and scalability for biologists to address a wide range of compute intense questions in biology and drug discovery.
The narrator has intense doubt and questions whether Legrand, who has recently lost his fortune, has gone insane.
And the speculation this year over bonuses has been unusually intense; the question of Congress's extending or eliminating Bush-era tax breaks that have been in place for much of the last decade has only fueled conjecture.
Slightly built, amiable and intense, the question is: will the politics of the fractious Anglican communion prove adequate preparation for the snakepit that appears to be the Labour party at Westminster?
He thought the country relatively unagitated by intense political questions, and was astounded by the freedom of the press.
