>Shedinja inherits the same personality value, IVs, EVs, OT and ID number as the Nincada that shed it. Among other things, due to retaining personality value, if the Nincada was Shiny, Shedinja will be Shiny as well.
If the Nincada's shiny, Shedinja will be too. If it's not, Shedinja has no chance to be shiny.
Shedinja