In part a reaction to protestantism, the period of spiritual renewal in catholicism in the seventeenth century is known as the

The is answer is Counter-Reformation. 

The Counter-Reformation, this same period is also known as the Catholic Reformation or the Catholic Revival saw the Church's response to the Reformation which included reflection on its own spiritualism, as well as redefining the Church's influence and status in a post-Reformation world. The main goals of the Counter-Reformation were to clarify doctrine, processes, and theology and deal with issues stemming from Luther, Calvin, and other Reformation leaders.