If you came to settle in present day New York City in about 1650 it's most likely that you're of what descent?

You would have been of Dutch descent because it was then New Amsterdam.

The town was founded in 1625 by Willem Verhulst, and Peter Stuyvesant was the Director-General of the colony of New Amsterdam from 1647 to 1664, when it was ceded to the British and became New York.