A couple of things:
All sewing machine motors (except for electronic or computerized models) are universal motors. This means that they have carbon brushes that ride on the armature as the motr spins. This produces friction and the motor will get a little warm (not hot) as it runs for a while. So, slightly warm is normal, but hot is bad.
I would also like to add that the vast majority of potted motor machines that cross my bench (over 95% of them) require some remedial work to the motor and new wires from the motor to the terminal on the back of the machine. Rather than spend a ton of time typing stuff out, I am going to refer you to some articles (with photos) on my blog that will provide more information about this:
Refurbishing the 15-91 Inspecting electrical wires on a Classic Vintage Sewing MachineSinger 15-91
Review, specs and free manual. Yes, you can use a generic 1/4 inch, low shank foot, or you can use a seam guide with your standard foot. It easier to use the screw on or a magentic seam guide if you have a marked needle plate for your machine. As an option to the marked needle plate, you can use an
adhesive marked guide.
I bet the motor stops, but the machine keeps going, right??? This is not a defect with the controller.