Putin will respond to action as would be expected. It is a safe bet that Russia will amp up pressure in other areas such as Ukraine.
Secretary of State Tillerson, who, with General McMaster put forward a strong case for the Syrian action, will have to address this when he travels to Moscow next week. He will need a strong message, but combined with a reminder with Washington has its benefits.
Two opinion pieces written with Judy Miller for the Fox Opinion Page. The first on 5 April (http://www.foxnews.com/opinion/2017/04/05/syria-trumps-first-national-security-test-needs-more-than-tough-tweets.html) draws from previous blog posting.
The second from today 7 April, the morning after the strike (http://www.foxnews.com/opinion/2017/04/07/syria-airstrikes-critical-message-trump-sent-to-north-korea-china-and-russia.html).