This study illustrates a new role played by stirring in a reaction system subjected to a constant inhomogeneous external forcing. The studied model system is an excitable photosensitive Belousov-Zhabotinsky (BZ) reaction, where the inhomogeneous forcing is implemented via a spatially inhomogeneous global illumination or a homogeneous local light illumination. Because illumination reduces the excitability of the BZ system via producing an additional amount of bromide, the above stirred system is expected to stay at a stationary state regardless of the mixing rate. In contrast, our numerical calculations show that under moderate stirring rates global oscillations of simple and complex modes are obtained in this otherwise nonoscillatory chemical system. The onset of oscillatory behavior is due to stirring-induced fluctuations in the bromide concentration, which is known to be capable of inducing excitations at the vicinity of a Hopf-bifurcation point. Counterintuitively, our calculations further illustrate that having a large inhomogeneity in the external forcing does not necessarily favor the occurrence of stirring-induced oscillatory behavior.