The thermocouple is basicly a thermometer that tells the controller what the temp is at so it can be regulated.
If it is the thermocouple it should not be a problem. It will be a metal probe with a set of wire leads, depending on the type the wire could be ten feet or more long. Do not cut the wire on the new one. It's usually secured to a bracket in the chamber, simply remove the old one and replace with a new one. It will connect to the back of the controller, two wires usually red and yellow.
The biggest issue will be getting a new one shipped to you or sourcing one local.