Are you on W10 technical preview by any chance? If so, the quiet hours seems to be buggy for some users initially. The only fix i've found so far is to reset the phone to its factory settings. You can easily do this and not lose data, by backing up through phone settings.
No I'm still on wp8.1. Has worked fine up till now but now when you drag the switch across to to quiet hours immediately it still shows quiet hours as off even though the switch appears to be in the on position...
Update: If I tell cortana verbally to turn on quiet hours it does it!
However after that if I try to access quiet hours from the cortana menu I'm unable to