Is the motor is rated for use down to 208V and if the service voltage was 5% below normal, say 228V rather than 240V, then the total allowable voltage drop is 20V @ 10A for 2 ohms. In that case, #12 copper would be acceptable from a voltage drop standpoint. With a continuous load of 10A, minimum ampacity is 12.5A so #12 is acceptable.
However, if the motor starting current is 6x, the voltage drop would be 120V during starting, there is a good chance that the motor will not have sufficient torque and will fail to start. Since this is a pump load, it may be possible to spin this up to speed but it may trip the breaker on the thermal overcurrent element.