To concern or bother. To matter to.
Someone gives you an excuse for not being able to do
something, but you
don't care, as
long as you get the result you want.
George Thorogood's "House Rent
Blues": His landlady has seen him leaning against a post, not looking for
work to get money to pay the rent. He says "but I'm tired!" She replies "That
don't befront me, as long as I get my money next Friday."