High blood glucose is the probable outcome as the remaining basal insulin clears the system. Your best bet is to monitor BG closely and to compensate with frequent fast-acting insulin injections if it becomes necessary until you can get a replacement.
I do not know how urgent this is (malfunctioning insulin pumps will lead to DKA very quickly, but that's pumps...). If you are in any doubt, call NHS direct or an ambulance.
