You should double check that. Credit cards will often cover damage to your rental car vehicle but NOT liability to damage to others. It depends on your specific credit card, but I have never seen a credit card that will cover liabiliy. Please read the fine print...
Ed
Always check with your CC company as many have done away with CDW coverage.
My credit card stopped covering CDW for me once I reached 65, so now we rent the car with my wife's credit credit card. Don't know what we'll do when she reaches 65.