  In the context of Gravity's Rainbow, we compute the graviton one-loop
contribution to a classical energy in a traversable wormhole background, by
considering the equation of state $p_{r} = \omega\rho$. The investigation is
evaluated by means of a variational approach with Gaussian trial wave
functionals. However, instead of using a regularization/renormalization
process, we use the distortion induced by Gravity's Rainbow to handle the
divergences.
