Your insurance company will defend the lawsuit.
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Your insurance company will probably provide a lawyer for you. Normally your insurance company will provide a defense and pay for the other party's damages if you are found liable. In the unlikely event that your insurance coverage is inadequate, the injured party may look to the personal assets of the at-fault party, but it is rare for there to be any extraordinary assets available for recovery. If you have a car which is your separate property, it may not be subject to attachment for your husband's debt. You may want to speak with your attorney about that.