We are so very sorry you were in an accident and so glad you were uninjured. I have escalated your comments and a member service representative should be reaching out shortly. Thank you.
Insurance companies do not waive deductibles.
Normally if the other party is at fault you have the choice of filing a third party claim against the other driver's insurance to have your vehicle repaired (without a deductible). Or you can choose to have your insurance do the repairs minus the deductible, which they will then attempt to recoup from the other insurance company (normally through subrogation), If they are successful, your deductible would be reimburse.
Sorry, Tweacher, but that is not how it works. Feel free to link me to an article that states an insurance company will pay your deductible prior to subrogation.
Also, this Q&A might help you understand why your insurance company will require you pay the deductible until fault is determined and accepted.
I should warn you that just because the police report faults the other driver, that may or may not be how the insurance companies determine fault. Like with a court of law, that would just one piece of evidence considered. See above article.
Hopefully it works out for you.