The lifetime of the SF6 anion was measured at the electrostatic ion storage ring ELISA, where decays in the time span from 100 mus to a few seconds were recorded. We find a nonexponential decay with an approximate t(-1.5) power-law dependence. The observed decay rate is accounted for by a model for thermionic emission that takes into account the initial energy spread of the SF6 molecule prior to electron capture as well as some kinetic energy of the captured electron in the applied plasma-ion source. The energy dependent decay rate is described by an Arrhenius decay constant with a pre-exponential factor and the electron affinity.