Turning someone into a vampire was no easy task, but all the tools have already been provided. The person being turned has to be in a state of fear and intense negative emotions, I don't know why that seemed important, but that's how it's always been. Every rank of vampire, from a Nosferatu all the way to an elder can turn someone into a vampire.
The success rate are higher for elders, but in the end it was still just a fifty, fifty chance. Not everyone can become vampires, you needed to be strong enough to accept the change, and more often than not that strength came from your ability to withstand the pain you were feeling during the change. To be honest I might be a little more nervous than Tiberius himself, but there was a life on the line, and there wasn't really much time left for me to hesitate.