That very day a great persecution was started against the church in Jerusalem. Everyone except the apostles was scattered through the lands of Judaea and Samaria. . . . Those who were scattered went all over the place announcing the word. (8:1, 4)
One way or another God is going to spread his Kingdom. That was what He wanted (1:8) and here it is happening.
Were the disciples not spreading out as desired? Were they, like we often are today, more comfortable staying where they were, with people like them, in familiar territory? Did God use — or even bring, if your theology and this situation allows that idea — this persecution to advance His kingdom? This is a speculative conclusion; we can’t know for sure.
What is clear is that His kingdom grew one way or another. God’s people talk about God wherever they go.