it's not going to work without some sort of testing on our side ...
If you rename it in vCenter, the next time you make an Org vDC, it'll make a new folder of the previous name. Then place the OrgvDC/Org into that folder. This will deploy here.
The orgs that were preexisting and have a folder will continue to deploy the folder with the old name.
Given the basic information I have right now, it's probably not going to work for you.
