What was the name given to those calvinIsts who wished to rid the anglican church of catholic influence?

Reformed

Explanation:

The second manifestation of the Protestant Reformation took place in the Swiss Confederation, under the leadership of Ulrico Zuínglio (Zurich) and João Calvino (Geneva). From the beginning, the Swiss Reformation was known as the "reformed movement", from which expressions like Reformed Faith, Reformed Theology and Reformed Tradition come from. Over the years, the most prominent leader of this movement became the French João Calvino, whose doctrinal system became known as Calvinism. The main heirs of Calvinism developed a form of ecclesiastical organization known as Presbyterianism.