You have my sympathy.
But there is one thing I do not understand: why do you let her do all these things?
There is a lot you could do to keep her away and reinforce boundaries.
In case she really is nuts, prepare and collect evidence for an official complaint.
Set up cameras, file a complaint, sue her for messing with your animals and setting them free, let her pay for the loss of your chickens (lifestock!), get a restraining order (harassment, ongoing trespassing etc.), set up a sprinkler system that will get her wet every time she sets foot on your property
or electrify your fence including the coop door handles etc. "to keep raccoons out".
But be careful to only do electric fence OR sprinkler system. Mixing both could lead to death.
After getting the "raccoon treatment" I doubt she will ever touch any door handles on your property again, whether yard gate, run door or coop door handles.