Woke doesn't mean "includes gay characters". It is possible for a story to have gay characters but also be deliberately unwoke in its premise and execution. For instance, Buppa from Tokyo Tribes is bisexual, but the series itself is extremely unwoke and mostly deals with themes of extreme gang violence.
Woke is when a story is extremely, annoyingly fucking preachy and takes sabbaticals from advancing the plot just to force an eye-rolling, groan-worthy Aesop on the audience. Woke is when one or more characters are used as mouthpieces for the author's political views and presented as objectively correct. They are never challenged to a stalemate by other characters in a debate, and the possibility of them being wrong is never left open.
Woke stories are boring because they don't give the reader the opportunity to form their own conclusions about which characters are in the right and which ones are in the wrong. A good fictional narrative has
balance. It neutrally presents the merits and disadvantages of every side. It lets the audience do the actual legwork of determining which party in the story has the most legitimate case. Some really smart stories can even do the unthinkable and get you to sympathize with horrible people and then question
yourself.
A shitty, woke fictional narrative does not do this, at all. It presents one side as obviously, blatantly correct, and everyone else not on that side as uncultured, shit-eating savages. In a good story, everyone has a fair shake. In a bad story full of woke bullshit, ideological mouthpiece characters pummel helpless strawmen into submission.