Hi,
SRM depends on the availability of certain objects, such as virtual machines, folders, resource pools, and networks, in the vCenter inventory at the protected and recovery sites. Renaming or relocating objects in the vCenter inventory does not affect SRM, unless it causes resources to become inaccessible during test or recovery. Hence there is no worries about SRM as SRM pulls the information from vCenter inventory. And renaming of datacenter will be updated in vCenter inventory on the completion of task.