Although the Apostle Paul anticipated that there would be trouble ahead, he was also confident that God would continue to be with him and with the Christians in Rome.  In this verse, God is described as the 'God of peace'.  This refers back to Romans 5:1 which tells us that, having believed in the Lord Jesus Christ, we have peace with God.  This is not just a feeling giving us peace of mind, but an objective legal condition.

That is, having been His enemies, through Christ we become His friends (Romans 5:10).  Having been in rebellion against God, we have now been pardoned and welcomed into His family.  As Romans 8:31 says "If God be for us, who can be against us?"  Not only do we have a legal and judicial peace with God, but we also know that no external trouble can ever separate us from His love (Romans 8:35-39).  

Although Paul would experience many difficulties over the following few years (2 Corinthians 6:3-10), he had peace in his heart which gave him great confidence to continue preaching: he knew that he was on the Lord's side and the Lord would use him up until the end.  And, he was certain of his eternal reward (2 Timothy 4:6-8).  Therefore, Paul wanted to assure the believers in Rome, who would soon be living under persecution, that the same God was their source of peace also (Philippians 4:4-9).

Naturally, we seek an absence of conflict and stress.  The Apostle Paul's example shows us that even in the middle of a crisis, those who are serving the Lord Jesus can know the God of peace with them.  Such people fulfil the purpose for which God has placed us on earth.  Knowing that we are in the right place, at the right time, doing the right thing, brings a constructive and quiet strength to our hearts.  Knowing that we are saved from our sin, forgiven and secure for eternity should stop us from turning to any false god.  What we learn in the school of faith we also need to share ... and remind our brothers and sisters that the God of peace is with them also.