In other words, they don't know if you comply unless you loudly announce that you will not comply. If they told me tomorrow that I had to teach using a short story on a wonderfully happy gay couple, depending on my view of the story, I could take it, nod gratefully, and ask if they have any quizzes or vocabulary lesson plans to go with it... and then stack it neatly in a cabinet, never to be seen again. Or I could use it and we'll use it as an opportunity to talk about propaganda and bias... or I could use it as they'd like me to, but as a teacher you have a lot of leeway. You just have to be tactful and discreet.
And if you have a principal who hates you or suspects you because you’re not towing (toeing?) the liberal line, you’ll get a lot more class observations. Don’t have tenure? You’re done.
If one of your students has a gay parent or a left-wing busybody parent, there will be complaints travelling up the chain, hell, complaints to the local press “I gave Ms. Lady a book to read to the class because Sam was feeling left out because there was no depiction of families like herm own - I told her Sam was feeling left out, but she never read it.”