A bulb blew in the bathroom light last week, and after resetting the
breaker and replacing the bulb, all the other lights on the circuit
still work, but the bathroom light does not.

I have purchased a new light, thinking that it was the light fixture
that must have been broken, but to no avail.

I wondered whether any kind souls out there would take a look at this
mickey-mouse wiring diagram of the current fixture and tell me if
something looks suspect, and how to diagnose/fix the problem? Bit hard
to shave at 6am without a light! It has a dimmer switch on it, but when
turned on - nothing happens.

http://nickmyers.co.uk/Wiring.gif

I have very little experience of electrical matters any how, but can
usually work things out.

Many thanks,
JBG