In the context of thermal energy transfer by conduction, the correct order of how thermal energy moves in the given scenario would be:
stove burner → pan → bottom of pan handle → top of pan handle
This sequence shows the flow of heat starting from the burner, which heats the pot (pan), and then continues to transfer into the bottom of the pan handle, and finally reaches the top of the pan handle.
Thus, the correct answer is: stove burner → pan → bottom of pan handle → top of pan handle.