IPA: /ˈkaʊntərˌkwɛsʧən/
KK: /ˈkaʊntərˌkwɛsʧən/
A question that is asked in response to another question, often to challenge or redirect the conversation.
When asked about his plans, he responded with a counterquestion about her own intentions.
Counterquestion → It is formed from "counter-" (meaning against) and "question" (from Latin "quaestio", meaning inquiry or asking). The word "counterquestion" refers to a question posed in response to another question, effectively asking against the original inquiry.
Think of asking a question "against" another question — that's what a counterquestion means.