The year, make, model and engine size would help us help you. In older vehicles (pre-fuel injection) vapor lock was an issue.
What would cause the engine not to restart when hot Chevy Trailblazer 2007?
yes this will cause engine to run hot
probably
water pump, oil, water, engine coolant....main cause would be engine coolant, just check to see if you have a leak.
The engine overheating, or a faulty gasket, or problems with hot spots in the engine.
simply having a blown fuse would not cause the engine to run hot. But, it depends on what fuse is blown. a fuse blown for the cooling fans would make it run hot.
It is possible, but the engine would be very hot before this happens.
Heater coil
A damaged catalytic converter could cause that.
The thermostat control engine temperature. If it fails the engine can run hot or cold - that would happen long before over-heating caused the engine to stall.
you have a bad head gasket
freeze plugs?