Acts 8:4 Therefore those who were scattered went everywhere preaching the word.
Did the acts of Saul stop the Christians from going out and telling others about Christ? Did he manage to stop Christianity from spreading?
No! The Christians were spread further apart because of the persecution, but they continued to tell others the Gospel.
In fact, you could say Saul was helping them in one way; the Gospel was going out further than it would if people were comfortable in their areas!
God may allow you to get uncomfortable so His Word can get out more!