which term name the process when one molecule transfers its heat energy to another during a collision

It would be thermal conduction.

What is conduction by Mimiwhatsup: It is the process of by which heat or electricity is directly transmitted through a substance or when there is a difference of temperature or of electrical potential between adjoining regions, without movement of the material.

Heat may be transferred by conduction, convection, or radiation.

I believe the answer is conduction