Hi there. If you are deploying a VM template to another vCenter or cluster, it will start to copy the files, so it may be the cause of the slowlyness. Can you try cloning the template to the new cluster and try to deploy again?
I suggest you move the template to a shared datastore between clusters so no copy is needed.
Also, consider using Content Libraries. They are great for centralizing ISOs, OVF and Templates between clusters and vCenters.
Regards