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The law is that you are responsible if yourvtree causes damage or disturbs her or her property.
That is not to say that you are required to go into her property and remove the fruit but a court could require you to prune the side of the tree that overhangs her property so that this does not continue.
This is considered to be a nuisance which is a tort. In other words it is a civil wrongdoing. It has nothing to do with committing an offence but she could sue you successfully if she had to pay someone to clean up the fruit or if she had to repair any damages that the tree could have caused.
She is not responsible for trimming the tree though she is permitted to do so. But you are responsible for doing it. She is also not responsible for having to pay to cut the tree down. That would be your responsibility.
I'm sorry that is not the answer you were hoping for.