Snow White's Evil Stepmother wants to be the fairest of them all. But Snow White was, said the Magic Mirror. So The Stepmother/Queen, ordered a hunter to kill Snow White while she was picking flowers. But the hunter doesn't have the heart to do it, so he says "Run, before the queen finds you!". So that's what happened. So the conflict was that she was running in the dark, her Stepmother wanted to kill her, and she had no where to go.