Yes, it is safe to tow your car to a repair shop of your choice. However, it is important to make sure that the repair shop is reputable and has experience in handling your type of car. You should also check with your insurance company to ensure that the repair shop is approved by them and that they will cover the cost of repairs. If you are unsure about a repair shop, you can ask for recommendations from family and friends or read online reviews to get an idea of their reputation.