After the unavoidable defeat of the slaver army in Meereen, news of the result will expand unevenly. Since Danys khalasar left inmeadeately after her, she will not be informed of what happened for some time. Qarth, new ghis and Volantis will probably recieve the news faster. How do you think they will react to that defeat?

I’m not so sure about that. Dany’s trip to the Dothraki Sea happened two weeks before the Battle. She could easily have made the return trip in the meantime. 

I think they will react by being very afraid, because they just lost a lot of their military power. I would not be surprised if there’s a slave revolt in Volantis and New Ghis.