I think the best solution to this is for the OP to hand their notice in on 1st November, I assume she has to give one months notice when she wants to leave. She has then left her job well before your holiday date.
There will be no disciplinary issue and she will not be sacked so that if she goes for another job her current employer will give her a neutral reference. Put the issue to the test and any reference will in some coded or direct way state that she left her current employment under a cloud, which will do her re-employment chances no good at all.
Last weekend, in Rutland, the first statue in Britain of the late Elizabeth II was unveiled.