If your ancestors settled in New England, then your heritage is probably Catholic.
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HUH ??? 1600s
Only fur trappers in the mid-south...
The Europeans were still on the shore..
The Irish didnt come here to MA and NYC till later...
New york City and New Rochelle ???
Long Island and Staton Island ???
All Huguenot
The first settlers to NYC outside ofd Indians, and fur trappers were Walloons, Protestants from France and Holland, 1623
At that time many French Catholics were going to Canada..
Huguenots were not allowed to go to Canada (French) and who would want to go at that time...
Maryland was Catholic later
New York is not part of New England.
I should have clarified by referring to immigration from Quebec to No. New England. As you correctly point out only Catholics could immigrate to French Canada. A substantial part of the population in No New England is of French Canadian extraction and of Catholic heritage. On the other hand French immigrants further south including the NYC area around the 17th century would have been largely Protestant.