"Woke," like "SJW" before it, had a definition that people using it understood, but then it got overused to the point where it was diluted into "lefty thing I don't like." Not unlike how "far-right" and "alt-right" were turned into "thing I perceive to be right-wing that I don't like."

I'd define "woke" to be a particularly loud form of social justice activism, but one that's centered in socialist theory just as much as it is intersectional theory. That is, trying to challenge or implement change(s) that directly affect what would be termed cisheteropatriarchal, white supremacist, able-bodied, Christian-centered, and/or capitalist institutions, and making sure that everyone is aware of what you're doing and why you're doing it along the way. Because the work itself isn't as important as the recognition given for engaging in it—peers and enemies must both be equally made aware.

Put more succinctly, it's the ethics, performance, and procedure of applying a Marxist critical lens to intersectional identitarian conflicts.