Ambidextrous.
I'm afraid you really haven't thought things through very well. A regulator being answerable to it's regulatees is a contradiction in terms. The UK CAA does a pretty good job, by and large. The fact that some people sometimes don't get what they want doesn't make it a bad organisation, merely one that had to be even-handed. It does answer to the Department of Transport, so there is oversight and it's worth remembering that it doesn't receive a penny from the public purse, so has to fund itself from the aviation community. Like any large organisation - probably even the one you work for - it has an irreducible percentage of idiots but the vast majority who work for CAA are surprisingly helpful if approached in a constructive manner.