Hi I have a question regarding a car accident. I...

If a car accident occurred, then the offender has to bear the funds for repairing the damage caused to the other party (YOU).
If the police papers confirm that you are the one who caused the accident, in addition to that you have paid a fine, in that case, you will have to pay the costs of repairing the damage that occurred to the other car. However, you cannot be obligated to pay the value of damages except through a court judgement.
If the insurance company for the other car demands that you have to pay the costs of the damages for the lady's car, and they do not have a court ruling, then it is obligatory for you to pay costs of these damages, in that case you can refuse to pay these money for damages and you have to wait for the other party to obtain a court ruling in his / her favor.
Finally, you can negotiate with that insurance company to pay part of the repair' costs in exchange for the insurance company and the lady pledging not to file any other cases against you.