I don't see how it could be in the motor.
What I meant is that it appears to be broken off right at the point where the motor housing meets up with the bracket that holds the motor to the frame.
Thanks Norman, I'll remove the other bolt and pull the bracket out and see where the bolt snapped off. Hopefully you are right and there's enough bolt sticking out for easy removal. If not, I'm sure I could find a left-handed bit online (great suggestion by the way, thanks).
The case is aluminum...the stud is steel. Grab a mig and build the stud up until you can grip it with a pair of vice grips. Unscrew stud and continue about your day. Easy Peasy.