That's pretty much the definition that the term started with (arguably it was a bit more general in some sense: just along the lines of 'politically aware and engaged'). It seems to have morphed, but I find that when it's used pejoratively there's not one fixed definition beyond 'I don't like it'.

That's why I'm asking you what your definition of woke is, so that I can understand what it is about new doctor who that you don't like