Uninflicted accident in France – Dissolving problems

My girlfriend had an accident in France (she is an elderly lady who crashed her Audi into the trunk). Accident report was filled out and the lady also admitted her fault – so first of all everything was clear. Again at home the Axa Germany was determined by the Green Card as mediator (was also incredibly difficult, because the lady was insured with the Axa France ), which then needed some time to get the release (or as one calls it) We should then have an estimate made, which I refused, because an estimate for a total damage (Heck is nicely squeezed and the Audi 19 years old). Was also no problem, one asks in France because of takeover costs for an expert for… he would then call me. On my objection, that I would rather commission an own expert report, was only briefly said that this is also possible, but one should wait for the first time. 2 Where The expert commissioned by the Axa constantly calls me, but I still reject it – a call to the Axa (which now became absolutely unfriendly) now revealed that one could not take one’s own expert at once and I was asked what I would have to expose to their expert – I told her that she should answer the question herself… Well, it would be checked now, but after 2 weeks nothing happened and my inquiries will be abs Olut unfriendly schmettert, I should have patience, whether Axa France pays that at all. Now my question: Can I also take my own expert according to French law? According to the side of the French embassy in Germany that would be so… but that was not quite clearly described there! The Axa meant that at the beginning also, now it winds itself… Has someone sound knowledge and experience here and can answer me that I finally order an expert next week n can?? Thank you very much in advance!