Let's just assume you did see what you think you saw. Let's assume you are right.
What does that mean?
You don't dispute the fact that Khulman fails to heal thousands of people. You don't dispute the fact that the near-total majority of paranormal and unusual claims are bunk, either mistakes, self-deceptions, or outright fraud.
Nor do you dispute Darfur, the Tsunami, the Holocaust, or Pontine tumours. You don't dispute the fact that innocent children die every day in this country alone, from a lack of the most basic miraculous efforts.
Heck, children die on a regular basis, in the most horrific way, kidnapped by sick sexual predators, because God can't be bothered to make a phone call.
So against this ocean of misery and suffering, what do we have? One little girl who was granted a miracle, so she wouldn't stumble when she walked. Her life wasn't in danger. Other than running marathons, her life wasn't even circumscribed. There are children going blind in Africa right now, for lack of a pill that costs one dollar a year. Yet your cousin deserves a miracle, and they don't?
What kind of God would dole out his power so inefficiently? So utterly randomly? So unfairly?
We are left to conclude one of two things:
A) There is a God, and He is the most capricious being imaginable. He does not conform to any human understanding of good, fair, reliable, responsible, reasonable, manageable, or comprehensible, yet He controls all aspects of our lives for his own inscrutable reasons. We are but playthings to Him. He heals or ruins, saves or damns whomever he wants, with no more concern for them than your cousin has for her stuffed animals. Actually, with less, if your cousin is a normal child.
B) You are somehow mistaken in your observations, and the laws of physics and nature did not spontaneously change.
Ask yourself which of these are more likely. Then ask yourself which of these two you would prefer to be true.
That's the part that always gets me: not that you, or someone else, thought they saw a miracle; but that they never sat down and thought about exactly what that miracle would mean. If your experience is true, then we are helpless in the face of a world which cannot be understood, or even dealt with, but merely endured. If your experience is true, it does not create hope as you seem to think, but rather, destroys hope. It reduces all of us to victims. It makes a mockery of our efforts to make our lives better. It makes everything good in your life a gift, instead of the product of your own efforts.
Yet you tell this story as if it where supposed to inspire hope that things could get better; when in fact, if the story were true, it would merely show that all disease and illness are there because God wants them to be (given that he could make them go away in an instant). You think this is an example of somebody getting a special exemption; you do not understand it is an example of everyone else not getting a special exemption.
It takes a special kind of person to stand up in middle of a crowd of tortured, abused, crippled, dying children and shout, "Look at this! My cousin had a hang-nail cured by God!"