PokerBob gets screwed at work. What would you do?(tl;dr)

[bbones31]

"The administration would like the department to decide who teaches what, but they will intervene if a consensus cannot be reached."

This appears to be a key statement.

Did your department already come to a consensus? If not, this seems like a way you could force the administration to listen what you have to say.

If you want to be spiteful, I'd say start a lunch time/prep 'physics study hall' and see how many students show up. I'm sure the administration and TTWC would notice 30 some students showing up to your room. I'm sure they'd bitch about TTWC and word would get back to her.

As a teacher who just finished my first year, I couldn't imagaine taking AP Calc from a veteran teacher, however if that teacher wasn't there my first year, it would make easier.