Good neighbours and bad neighbours

As most of you know on one side of us we have a lovely neighbour - Sally (we share the porch with her) and on the other we have a crazy neighbour. With our tree situation we have spoken with Sally and she even offered to help us pay for it (which we will not accept as it is not on her property at all). We didn't even try to talk to our crazy neighbour as we thought she would not have a clue what we were talking about and would definitely not be paying.
Today the tree guys came to take care of it. They did their job very well but did have to go into crazy neighbours property a bit. Unfortunately she had issues with this. She was swearing at them and then told me we had no right to have them on her property and then threatened to call the police (which by the way have not shown up - so who knows if she actually called them). They are currently in her backyard cleaning it up and I have no idea what she is up to. I went next door to tell her they would be cleaning her backyard but she chose not to answer her door. I am kind of curious as to how she will retaliate, although this was all good for her. They got rid of a branch that could also have done her house some damage (or more than it already has). In fact when they finish with her backyard it will most likely be cleaner than ever too.
Fortunately Enrique (the name of the tree guy) was really good about it and said he deals with crazy people a lot. As long as she doesn't have a gun he's fine.
Maybe we should have given her a heads up, her behaviour was totally uncalled for and this just makes living next to her that bit worse. We don't see her often so it really shouldn't impact us too much.
Bring it on 'crazy'...Raju will not put up with anything!!!