We propose a method to read out the spin state of an electron in a quantum dot in a Voigt geometry magnetic field using cycling transitions induced by the ac Stark effect. We show that cycling transitions can be made possible by a red-detuned, circularly polarized cw laser, which modifies the spin eigenstates and polarization selection rules via the ac Stark effect. A Floquet-Liouville supermatrix approach is used to calculate the time evolution of the density matrix under the experimental conditions of a spin readout operation. With an overall detection efficiency of 2.5%, the readout is a single-shot measurement with a fidelity of 76.2%.