In case it isn't already abundantly clear, when they say "woke", they mean "treating people who aren't white males with fairness".
https://www.nytimes.com/2026/03/27/us/hegseth-promotion-list.html?unlocked_article_code=1.WVA.tyE5.oxlxlbTn702W&smid=url-share
Hegseth Strikes Two Black and Two Female Officers From Promotion List

Defense Secretary Pete Hegseth’s highly unusual decision to remove officers from a one-star promotion list has spurred allegations of racial and gender bias.

The New York Times
Yes that's been exceedingly clear to the kind of people that don't get platformed by corporate media