Despite the high directivity of optical beams, free-space optical (FSO) communications may be compromised by the presence of an external observer, particularly when the beam footprint at the receiver side is greatly wider than the receiver size. In this paper, a new framework is developed for the analysis of the secrecy outage probability (SOP) and the probability of strictly positive secrecy capacity (SPSC) in FSO systems over gamma-gamma (GG) fading channels with nonzero boresight pointing errors. As a key feature, we include the eavesdropper's location in the pointing error model corresponding to the wiretap channel model. In this way, new approximate and asymptotic solutions for both the SOP and the probability of SPSC are obtained in closed-form, which are validated by Monte Carlo simulations. Using the developed expressions, we can study some effects such as the impact of the eavesdropper's location and the beam width on the secrecy outage performance.