I would think that it would need a "L bracket" motor. Looking at some on Amazon, it looks like it would need to be wired differently on the Kenmore. That would mean taking the electrical plug off the motor and wiring it somewhere inside the machine so that it is wired to the plug in the machine. (The part black block in the lower right of your picture.) I would double check with the seller to make sure that the mounting holes are the same distance apart.
Janey - Neat people never make the exciting discoveries I do.