Perfunctory question

[Xinfu]

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.

[Rusty]

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 ...

[Xinfu]

Thank you~