A magnetic field exerts a force on a moving charge. The force is given by $\vec{F} = q(\vec{v} \times \vec{B})$, where $q$ is the charge, $\vec{v}$ is the velocity, and $\vec{B}$ is the magnetic field. Since the electron is stationary ($\vec{v} = 0$), the magnetic force on it is zero.
The correct answer is (C) Remains stationary.