Optoacoustic tomography (OAT) is a promising imaging modality for human breast cancer imaging, with higher resolution and deeper penetration compared to other optical imaging modalities such as diffuse optical tomography or optical coherence tomography. It yields a resolution of 1 mm at depth up to 2 cm. But there is an inherent conflict between the limitations imposed on laser power and the need to adequately penetrate a substantial portion of the breast. To achieve sufficient penetration at every view angle, instead of illuminating the whole breast all at once, sometimes illumination is focused onto a small region of the breast and rotated along with the transducer array to cover the entire object. This paper evaluates the effect of this rotating partial illumination design on OAT image reconstruction. The optical process is simulated by conducting Monte Carlo simulations on a numerical phantom mimicking a real breast, with various specially designed illumination schemes. The acoustic process is simulated by incorporating the transducer's spatial impulse response. Iterative reconstruction is applied to estimate the OAT image. We conclude that rotating partial illumination introduces inconsistency into the system equation, and the degree of inconsistency determines the reconstruction quality.