I don't know why you're nervous, I think you've pointed me entirely in the right direction there, Tightslot.
Unfortunately, that box is already unchecked BUT I haven't tried fiddling with the check mark in the 'Networks to access' selection above yet. I shall try moving it down a line from 'Any available network (access point preferred)' to 'Access point (infrastructure) networks only' and see what happens. I have absolutely no idea what that means but at least it moves me away from the 'Any network' situation. I shall report back.
Thanks Tightslot.