Here's a definition that should be acceptable to both sides.

Wokeness is the belief in three axioms: 1. Disparity is undesirable 2. Disparity is caused by discrimination 3. Applying different discrimination will reduce disparity

Those on the "for" side will agree with these axioms. Those on the "against" side will disagree with these axioms.

People who use the word woke won't even define it themselves because doing so makes them look clearly like a bigot.

That's why it's all nods and winks.

I put it in quotes because it's the term a certain set of people use (not me). It had a historical meaning to the Black community but that's been usurped by reactionaries.