The remedy is for them to do it right or give you a full refund, parts and all, but they will probably fight you on it. Your rotors won't be damaged driving it, but the more you drive it, the more ammunition they will have to not give you a full "refund". If it's the kind of place where they regularly cut corners like this, you would probably have to throw a full blown tantrum right in the main service desk in front of an s-load of waiting customers to get justice. I've had to take this route a couple of times, but it does work!!!! Then take it to a REAL brake specialist, who should also check your wheel bearings and repack them with fresh grease and have your speed sensors checked while the rotor is off. That is what a real brake job would entail. A master mechanic would never ever "cheat" on the brakes to a paying customer. Your life depends on reliable brakes. When the rotor is not fully removed and machined properly, the little metal shavings from grinding it ON-VEHICLE can lodge inside your wheel bearings. I've seen goof ball wrench hockeys just take their grease gun and shoot some grease in there to refill the Wbearings but the metal shavings are still there and will come back to seek vengence someday.
Sorry, for the long rant, but bad brake jobs are one of my pet peeves. It ticks me off bad.