What enabled Jesus to heal people so quickly, to bring about a clear miracle?

This was his power as a divine-level being. Even though in a physical body, he was unconstrained with respect to his divinity. This is what people noticed about him, that just being in his presence they felt in awe, they felt touched by his energy, feeling palpably they were in the presence of something divine and lofty and were in awe of him. That was a reflection of the unfiltered divine force he commanded because he was not constrained, as all ordinary human beings are, through the manipulation genetically that makes the physical body unable to connect thoroughly and robustly with the divine realm. So the flow of energy is feeble compared to what Christ enjoyed; that is the basic reason why he was able to effect healing so rapidly. He also was assisted and guided for people to come to him who were ready for healing to happen, and you know as well from your work some are more easily healed than others for many reasons. The same physical malady might arise from a simple origin in one person but in another be based on a huge accumulation of trauma from many, many times and places, and be much more of a project to take on and bring about a shift in symptoms. Some things will take years to fix with the tools you have been given, but that is still working through the human level as a kind of choke point and cannot be altered given the karmic constraints here. But Christ's life was meant to be an example illustrating not only his prowess and the reality of the divine, but a human-level example of what is possible for you, and who you will one day be as well, with the coming ascension, assuming you can survive and work to get there.