I think originally woke was shorthand for anti-racist (I don’t mind being corrected on this since I am not American). Unfortunately the term did not reach the UK in good enough time to be properly encoded in our Oxford English Dictionary and as a result the usage has gone rampant become diffuse! The meaning now seems to be converging on "I don’t agree with .".

Generally western laws would view caste-based discrimination as illegal and wrong. So, it would correct for an individual to express the same opinion in the West, even if that opinion disturbs the ideas and beliefs of a subset of the population attached to someone else’s culture.