As shown in a recent paper by Eichengreen and Gupta, the countries most affected were those with large current account deficits and those with relatively large and liquid financial markets which allowed for investors to be better able to rebalance their portfolios.
The issue was further complicated by the fact that the markets initially conflated tapering, which related to the slowdown of Fed asset purchases, with monetary policy tightening or normalisation of short-term policy rates. It appears now that the financial markets generally accept that tapering by the US Fed will proceed at a steady pace.