Principal unsure how to respond to teacher giving him the silent treatment

Q: I know you can’t please everyone, but I’m struggling with an angry teacher who is getting under my skin. From what other teachers have told me (since she barely acknowledges me), she thinks I dismiss her students’ needs but respond more favorably to every other teacher who makes a request.

Recently, I wouldn’t let her attend one of her student’s younger sibling’s IEP meetings at a feeder elementary school. The sibling’s parents had made this “special request,” and I told the teacher I can fully appreciate why these parents might feel more comfortable having her there. But, as I also pointed out, she may never even teach the younger sibling and allowing this would set an unsustainable precedent! Plus, we always send a counselor to our feeder schools for these kinds of transitional IEP meetings. Not to mention, we’re short on subs to cover teachers for these kinds of meetings, and we can’t give special treatment to some families but not others. The teacher didn’t want to hear any of the reasons.

That was two weeks ago, and she’s been a cold block of ice ever since. If I pass her in the hall or the parking lot and dare to say hello, she glares at me and walks away like I killed her puppy. What is the best way to put an end to her immature silent treatment? Should I bother trying to appease her, or should I accept that sometimes there’s no winning? Can I call her out for being rude and unprofessional? Can I tell her to look elsewhere if she’s so miserable?