The most accurate statement regarding how the Counter-Reformation in Europe impacted the settlement of European colonies in the Americas is:
Catholic persecutions of Protestants in England led to the Great Puritan Migration to New England during the 1600s.
During the Counter-Reformation, religious tensions between Catholics and Protestants intensified. In England, the Anglican Church was established, leading to persecutions of dissenting Protestant groups, such as the Puritans. Many of these individuals sought refuge in the New World, which resulted in significant migration to New England during the 1600s.
While the other options touch on aspects of religious conflict and migration, the specific connection between Catholic persecution in England and the Puritan migration is the most direct and relevant impact of the Counter-Reformation on the settlement of European colonies in the Americas.