The first slaves on any British colony didn’t arrive until 1619, well after Queen Elizabeth’s death in 1603. Britain didn’t even have any colonies in America until Jamestown was founded in 1607.
Article was sort of disingenuous, but not exactly wrong in the end. Elizabeth did support/expand John Hawkins’ triangular trade/slave trade in the West Indies. Planning stages for colonies were being carried out (Raleigh, etc...).