Getting through the maze to get the flower

I've looked at the in game w/t and tried to follow the steps. However, I get the key and can't get away from the "nurse," and keep getting put at the beginning.

Any help? Thanks.

You just have to stay one square away from them.
When you look like you are going to collide, move one square south (with the one near the flower i was moving up to get away and it was getting me boxed in - you need to move down).