You don't say what the part is - searches against the part number JQX115F show a Miniature Relay and I'm sure your toaster doesn't have a relay in it.
I think you'll be lucky to find the part you need - sadly they don't make small appliances to be repairable any more - my Microwave cost just £25 ($35) and it was shipped all the way from China and how they make a profit defeats me - when it breaks I'll buy a new one.
Good luck...
Peccavi, March 2009