I was going to suggest cooperating with her over the letter copies so as to look good in court, but on further consideration BazzaS & SuperVillain are right.
However, to make it easy for the judge and to show her up in court I would tweak the letter and add that this is the third time you've asked so that the expert can be "jointly instructed" and you are anxious to move things on as the two of you are already beyond the court's deadline.
You are writing to her but in a certain sense you're writing "to" the judge and what you are writing needs to be concise and follow the court's instructions - unlike her gibberish.
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