This is what I love about the use of the term 'woke', I believe it generated from being 'awake' to all of societal problems and an understanding that these were not the right way to live. Being against Racism, Sexism, any kind of division between fellow humans.
Basically, as you say the truth about the world we live in, not some kind of 'I am better than that person because I look and act differently to them'. That has seemingly been taken apart by some people to mean nothing to all kinds of truth, if we teach about our bad past then it is a bad thing and therefore 'woke'.
They think it is some kind of insult but in reality it means they are unknowingly complimenting you on your ability to show empathy, a willingness to understand all of history, your ability to adapt by learning off the past mistakes, they are literally and unknowingly telling you that you are better and a lot more intelligent than them