"Woke" in the context it is used today implies being aggressively left wing to a toxic degree, for example giving a disproportionate amount of power, say, and representation to groups that the left see as "oppressed", pushing the message that POC > white people and women > men, having a hateful and bigoted attitude towards groups such as men, white people, straight people, older people, conservatives, a totalitarian attitude towards freedom of expression, etc.
It's basically the flipside of the same coin as the alt right.
Princess Peach Showtime isn't "woke", if it was there'd be a male character who is constantly demeaned and emasculated, Peach would be blackwashed, there'd be a tokenistic laundry list of every imaginable minority, and the whole thing would be a preachy lecture about the "patriarchy".
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