This functionality will call the rename command (or some internal function that exists inside that chain of calls that command would start) here.

This ticket does not involve taking care of any interaction with the DonorStateMachine, assuming that a donor/recipient exists on the same shard.

Also investigate the best way to test this – consider that renaming a collection is already tested in unit test code, and if there seems to be nothing particularly special about this rename, create a ticket to verify the behavior in jstests once functionality has been completed up to and through rename.