  The electron-positron scattering process is investigated in the context of
very special relativity (VSR). This theory assumes that the true symmetry of
nature is not the full Lorentz group, but some of its subgroups, such as the
subgroups $SIM(2)$ and $HOM(2)$. In this context, the cross-section for
electron-positron scattering at finite temperature is calculated. The effects
of temperature are introduced using the Thermo Field Dynamics (TFD) formalism.
Our result shows that the cross-section is changed due to both effects, the VSR
contributions and temperature effects. An estimated value for the VSR parameter
using experimental data available in the literature is discussed.
