A number of insurance companies have approved garages. Ring the insurance co involved and ask them if they have approved repair garages. Also ask them if they operate a free courtesy car for you while your car is being repaired.
Do you have comprehensive insurance. Ring your own insurance co and discuss options your have with them. You could get the car repaired under your own insurance (you may have to pay the excess on the policy) and let your insurance company claim against the other party. If you have No claims Bonus protection i.e. 2 accidents less than 10,000 in value within a 3 year period you will not lose your no claims bonus, if not you may lose it if you are close to your renewal date but you will get it back once the insurance claim is settled.