Reflow hot plate controller - do I need a fuse?

[Peabody]

I'm doing a reflow controller for the cheap Walmart hotplate, although it could also be used for a toaster oven.  The mains switching is shown in the attached schematic.  I've looked inside the hot plate, and see nothing that looks like a fuse, although it does have a temperature control that will open if things heat up.  And I don't see anything in the SSR datasheet to suggest that it has a fuse.  And even if it did, the SSR is 25A, and the hot plate is only 1000W, which at 110VAC is gonna be on the order of 10A.  So if there was a short, I doubt the SSR would go open before the mains circuit breaker tripped.

I'd kinda like to not bother with a fuse.  But not being formally trained, I don't know what the rules are.  Apparently the hot plate didn't need one, so I'm hoping I don't either, particularly since that circuit breaker (20A I assume) is there in the distribution box.