Perfunctory question
 

I want to ask someone a question as to whether he would mind doing something, but I fear he might out of courtesy and politeness say 'don't mind' even when he really minds, how should I phrase the sentene? Can I say this?

-This is not a perfunctory/routine/idle question. If you really mind, you can close the window. I can sleep with the window shut.

This is not an idle question.
I'd really like to know your thoughts. I'd really like to know how you feel.

If you really do mind, you may ...

Thank you~