if you can rewind it in right way, it will work too without any doubt. reliability depends on how expert you are in making the core & winding as it was before. for short time you can rewind & use it until you get the spare. the concern is ampere turns, measure the current it takes in 110V, then count the winding. current x no of winding should be the same for your new coil ( when fixed to contactor). coil size has to be selected based on the current it will take. you can try selecting a coil of half, the cross section & doubling the number of winding.