Well when I read in Acts 16, I see a totally different thing happening.
A woman was following Paul and the others around. She was a fortune-teller and possessed by a spirit of divination. She kept on crying out that these men were servants of the Most High God proclaiming to them the way to salvation. Now imagine yourself in Paul's position...here you are proclaiming the good news to the people and there is this woman constantly shouting, being a distraction, a disturbance. See how the devil tries to hinder God's work?
Paul was greatly annoyed and turned around and commanded the devil to leave her! He did not first ask her if she wanted to be delivered, he just cast that devil out! There is power in the Name of Jesus.
In the Name of Jesus Christ!