What does God "hear"?

First, thanks to all of you who have asked me to blog. Not sure why you want that, but nonetheless I appreciate your interest. Seriously.

I've got a question that I need help with, but let me tell a story that will give you the context. Last week, I got a call fairly late at night from somebody who had visited our church. This person had a daughter in the hospital who was dying, and wanted me to come by. I did. I found out this person was an adherent of a non-Christian cult (they believe Jesus was created, thus is inferior to God and clearly, not God; they also believe that Jesus did not bodily rise from the dead), as were most of the family. There were at least 2 clergy at the hospital from that religion, and they all prayed for the girl. I also know that there was a huge prayer chain from that religion that sought God's intervention.

I prayed with the girl's father, I called my wife to call our prayer chain, and the next day I asked my email list to pray. Well...the girl recovered, miraculously in my estimation. I heard the doctor tell the family she had an hour to live, maybe 3-4 at the most. The girl survived the night and began a rapid recovery from unstoppable bleeding and from being without oxygen for several minutes. Again, methinks a genuine miracle.

So here's my question...Did God hear the prayers of the non-Christian cult? Does God hear the prayers of non-believers? I'm confident God heard my prayers, and the prayers of many of our people, because we see Jesus as our Great High Priest and because we understand at least a little of James 5.16. But what about the prayers of the non-Christian cult? I'm listening.