In this paper, we will study the deformation of a three dimensional theory with N =2 supersymmetry. This theory will be deformed by the presence of a constant vector field. This deformation will break the Lorentz symmetry. So, we will analyse this theory using N =2 aether superspace. The N =2 aether superspace will be obtained from a deformation of the usual N =2 superspace. This will be done by deforming the generators of the three dimensional N =2 supersymmetry. After analysing this deformed

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... uperalgebra, we will derive an explicit expression for the superspace propagators in this deformed superspace. Finally, we will use these propagators for performing perturbative calculations.