What is the notion of predestination and how did it impact New England settlement? How did religion play a crucial role in the lives of New England women?
For the first question, you can google that and discover John Calvin.
On the second question, "crucial" is a large term. Those folks believed Eve was the cause of all sin, and Eve and women were one. See if you can get the "deeper meaning" from this account...
http://www.common-place.org/vol-09/no-04/ray/
Read it carefully.