They had been traveling through what we now call northern Greece for several days. Looking for a place of prayer (the text might mean what we call a synagogue), they went outside the city. They found a group of women gathered for prayer.
One of the women was Lydia, a businesswoman. We are told she is a worshipper of God.
We read, "The Lord opened her heart to listen eagerly to what was said by Paul." She and her household responded by becoming baptized. She then invited Paul and the other travelers to stay in her home.
Paul responded to a vision. Lydia responded to a vision.
In his trip to a new place, Paul accepts an offer of hospitality from a woman.