  Isotropic quantum cosmological perfect fluid model is studied in the
formalism of Rainbow gravity. It is found that the only surviving matter degree
of freedom played the role of cosmic time. With the suitable choice of the
Rainbow functions it is possible to find the wave packet naturally from the
superposition of the wave functions of the Schr$\ddot{o}$dinger-Wheeler-deWitt
equation. The many-worlds interpretation of quantum mechanics is applied to
investigate the behavior of the scale factor and the behavior is found to
depend on the operator ordering. It is shown that the model in the Rainbow
framework may avoid singularity yielding a bouncing non-singular universe.
