Well, you can either take these little tin god bureaucrats to task and force them to take your daughter's side in defending herself, or you can realize that you can, indeed, homeschool. You just have to file the paper work and make sure your daughter understands that she's on her own wrt eduction. That's not a harsh sentence. Kids learn wherever they are, whatever they find themselves doing. If they're awake and alert, you can be assured that they're learning
something. Right now, it sounds like she's learning to eat shit and like it. That's not somthing any mother wants her daughter to learn.
If you take the first option, play it like a shark. Ya know, of course, that the way the laws, regulations and local statutes are written, there's no humanly possible way for the bureaucrats to steer clear of all infractions. All you and your daughter have to do to win at that is take the time to study the rules and handbooks and proceedures and then demonstrate to the schoolpeople that you can, and will, make yourselves far more trouble to them than you're worth. They're not dumb ppl, exactly, just cowards. They'll work out the progression and fold, quickly, if you stand up to them. They're not used to that. It's important to know and demonstrate that you know the snags and catches in the rule book that they lose sleep over.
The other route is much simpler and much more enjoyable. A teenaged kid needs a job (one that pays even a little is better than the 12 year sentence) and just one (more if they're lucky) good adult advocate who will always, reliably, view every situation from the starting and ending point of what's good for the kid.
Look up the actual laws on compulsory school attendance in your state. You'll find that they don't require a set curriculum, set hours, personal supervision or any of the myriad regulations and stipulations that schoolpeople sincerely believe they're bound to. In most states, it requires only a letter of intent and a loosely defined yearly evaluation. How you go about ensuring the safety and appropriate supervision of your own child is up to you.
The last struggles of a great superstition are very frequently the worst.
--Andrew Dickson White (1832-1918)