counterquestion

noun

coun·​ter·​ques·​tion ˈkau̇n-tər-ˌkwes-chən 

-kwesh-

variants or counter-question

plural counterquestions or counter-questions

: a question asked in response to another question

… avoid a direct "no" at practically any cost. They may ask a counterquestion, promise an answer at some later date, change the subject and even occasionally leave the room.

John Pfeiffer

Word History

First Known Use

1836, in the meaning defined above