The electric and magnetic field effects on the energy spectrum, the charge distribution and the electric dipole moment induced by the electron released from an off-axis donor confined inside the thin shell layer is studied by using the double Fourier series expansion method. The density of states exhibits strongly marked Aharonov-Bohm oscillations induced by the magnetic field, while the electric field modifies the charge distribution. The average electron-donor distance increases slowly as the electric field increases from zero, but then it rises sharply as the electric field exceeds a threshold value forming a giant permanent dipole moment.