Kirsten Baesler. At least she's way hotter than this Doc.
Davey, I don't know for sure, but I am betting most contracts signed by medical professionals include some clause in the contract that covers something like this. Arguable in court? I would bet even more that you could find attorneys willing to represent both sides in a dispute based on this.
As far as the school board position, they all have mechanisms to bring discipline, including dismissal, within their charters. It's a matter of how well liked she is by the other board members and/or if any parent group is willing to bring this up in an attempt to get her removed. Most often I suspect there are backroom discussions that lead to resignations in order to avoid removal. In a last ditch effort, the Governor can pretty much dismiss even elected officials for cause. I think the last I heard about this option was when the McKenzie county sheriff was removed from office, maybe 7-10 years ago?