One point to consider is how miracles have become less and less impressive over time as our scientific models have improved and more tellingly our ability to investigate and record have improved.
Miracles today are not people walking on water, not people parting the Red Sea, not people being raised from the dead. Even the likes of stigmata have all but disappeared. Miracles today even at the Miracles-are-US attraction at Lourdes are a few cases of people who have gone into remission when doctors gave them no hope. Of course, these types of remissions happen to people without going to Lourdes and for people who don't believe in a Christian god. A good example of these now minor miracles are the miracles that qualified Mother Teresa for sainthood, one was a cancerous tumour in the stomach that went into remission on the first anniversary of her death and the other was the remission of a man who had brain tumours.
Today I would say most Christian theologists would say that god acts in the world via natural processes, so he used the girl's immune system to cure the tumour, which of course means there is no difference in a universe with god and one without, or perhaps slightly more generously god no longer acts in a way we can detect.