Same reason as everything - looking for women
The Pilgrims weren't looking for women. They were looking for religious freedom.
They had religious freedom in the Netherlands. The idea that they were persecuted is a very stubborn myth.
They went to the Americas in search of the same thing as most immigrants: money[1].
[1] https://www.history.com/articles/why-pilgrims-came-to-americ...
> They were looking for religious freedom.
That's a tired trope and not the real reason. If history interests you, I suggest you dig deeper with fresh eyes.