In Preaching Today, author and speaker Tony Campolo tells this story:

I was in a church in Oregon not too long ago, and I prayed for a man who had cancer. In the middle of the week, I got a telephone call from his wife. She said, "You prayed for my husband. He had cancer." I said, "Had?" Whoa, I thought, it's happened.

She said, "He died." I felt terrible.

She continued, "Don't feel bad. When he came into that church that Sunday he was filled with anger. He knew he was going to be dead in a short period of time, and he hated God. He was 58 years old, and he wanted to see his children and grandchildren grow up. He was angry that this all-powerful God didn't take away his sickness and heal him. He would lie in bed and curse God. The more his anger grew towards God, the more miserable he was to everybody around him. It was an awful thing to be in his presence. After you prayed for him, a peace had come over him and a joy had come into him. Tony, the last three days have been the best days of our lives. We've sung. We've laughed. We've read Scripture. We prayed. Oh, they've been wonderful days. And I called to thank you for laying your hands on him and praying for healing.

And then she said something incredibly profound. She said, "He wasn't cured, but he was healed."