Your liability coverage is likely for bodily injury and property damage. If this is the case than this liability insurance will only cover the damages done to other people and their property that your fiancé caused damage to in the motor vehicle accident and not your own vehicle.

Unfortunately since you both only have liability on the vehicle and your fiancé was at-fault in the accident it would appear that there is no coverage for your vehicle. Without having physical damage coverages, collision and comprehensive, you are left being personally responsible for the making the repairs to the vehicle. If you had collision coverage then you could have made a claim with your insurance company for the damages or total loss of the car.

Since you your fiancé are the ones needing to fix your vehicle, if the vehicle costs more to repair than it is worth (is a total loss) then you can decide not want to pay to fix it. If that is the case you may see if you can sell the vehicle for salvage to at least get some money for it.

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