The correct response is:
The gallium atoms will gain kinetic energy.
As gallium melts in the person's hand, the increase in temperature causes the atoms to gain kinetic energy, which leads to an increase in their average speed. This is a key characteristic of the phase transition from solid to liquid. While the atoms do indeed move more freely as they transition from solid to liquid, the primary driving factor during melting is the increase in kinetic energy due to the heat being absorbed.