PC and woke are different things but clearly related. I'm unsure I'm able to give a perfect definition given the nebulous subjective nature of the concepts. But...
PC is mainly about being so sensitive to one's own beliefs in another's feelings that they criticise and demean anyone speaking normally with the delusional aim they will stop any offence some other, who may or may not be offended by the non-offensive, because they might not ve oversensitive anyway, might feel.
Woke folk, on the other hand want to denigrate their own people, make them feel bad for who they are, who their ancestors were, and anything they can fling at their own nation, even unto words used in normal speech. And at the same time try virtue signal and build up other nations as being hard done by and victims of past atrocities, which the present population must continually wear sackcloth & ashes, and keep their head bowed low, for in penitence.
As mentioned, related, but obviously woke is an extension of PC made by the very worst guilt givers in society.