When does Acts chapter 9 take place in God's timeline, relative to Israel rejecting the Messiah?

Les explains that once it was evident Israel was not going to accept their Messiah, Acts chapter 9 takes place again in God's operation. God saves the very man who was trying to destroy Him from Judaism, Saul of Tarsus. As Saul labored under blindness after the Damascus road experience, God told Ananias not to be afraid, because He would send Saul far hence to the Gentiles, and Saul would suffer for His name's sake. In the timeline, after Israel had rejected the Messiah and rejected all of Peter's and the Eleven's preaching in those first few years after the crucifixion, God sends Israel back into dispersion, especially after 70 A.D. and the destruction of the Temple. Meanwhile, He is doing just the opposite, dealing primarily with Gentiles, although Jews can come into the body of Christ individually, but not as a nation as God had dealt with them before. So Paul now comes in as the Apostle, and Romans chapter 11 verse 13 is referenced.