An extant but "impersonal" God can be irrelevant to us as far as how we decide to live our lives is concerned. He will not know or care about us, and not have given us any stone tablets with rules to live by on them. Of course, this hypothetical God could make himself relevant to us by his actions whether he knows about us not. He could, for instance, decide for his own reasons to destroy our galaxy or even bring the entire universe to an end. But in the traditional sense of having a god watching over us.....? No. Not if this is the same god who created the universe.
When you start your car in the morning, do you give thought to the millions of bacteria that you kill as your engine and exhaust system heat up? Do you ponder the deaths of the millions of bacteria and insects that you run over as you drive down the road? God, if he exists, must be like this. Doing his thing. Going about his business, thinking his own thoughts, and being as unaware of us and our plights as we are of the plights of the lifeforms that we carelessly destroy every day.