Not sure that I'm following you. My understanding here is that there is a Jewish temple ( i.e., a facility for religious observances ) located on the Upper NIle on Elephantine Island and that there are archeological remains or documents associated with it. This facility was for Judeans located there. Some of the inhabitants were supposedly Judean soldiers in garrisons of the Persian Empire. The Persian empire moved into Egypt during the reign of Cambyses.
Now a request "to rebuild the temple": Are you referring to the Jerusalem Temple or a structure on the Egyptian Upper Nile at Elephantine Island?