Let's walk through this procession from truth to presumptive lies:
Lydia and the Women Who Labored with Paul in Philippi. -- This is true. Of course no one is arguing that women cannot co-labor in the kingdom.
Paul began the church in Philippi with a group of praying women. -- This is also true. Of course no one is suggesting women cannot pray or serve as intercessors.
His base of operations and the church's meeting place was in the home of one of these women -
Sensing a theme? This is also true but no one is suggesting that women cannot be gracious hosts or even display the gift of hospitality.
Paul, however, had no problem beginning a Christian congregation with a group of praying women. -- Repetitive and answered; women can pray.
As far as we know, this was the first church in Europe. -- Irrelevant
These women obviously functioned in leadership alongside Paul -- Huh? This is what is so dishonest about the arguments he tries to make. There is ZERO indication in the text that these women served in leadership. In fact, he already correctly outlined that they were prayer warriors perhaps and co-laborers with a gift of hospitality. Laboring with someone does not mean they served in authoritative positions over men in the church.
"Paul's Spiritual Mother. Paul never mentions a spiritual father, but he does mention a spiritual mother. In Romans 16:13 he sends greetings to Rufus, "and his mother and mine." This is obviously not Paul's biological mother, but a woman who has been a spiritual mother to him. We know little about this woman, but at some point in Paul's spiritual journey, she had offered encouragement and counsel to Paul and been like a mother to him. The identity of this woman can perhaps be identified by comparing Paul's words in this passage to Mark's Gospel, which also mentions an individual named Rufus. Since Paul's letter and Mark's Gospel were both written to the same Christian community in Rome, and within a few years of each other, it is likely that the Rufus mentioned by Paul and the Rufus mentioned by Mark are the same person. In his Gospel, which was originally written to the church in Rome, Mark tells of Simon of Cyrene being compelled to carry the cross of Jesus. He notes that Simon is the father of Alexander and Rufus and obviously expects his audience to make the connection when they hear the names of the two sons. The Rufus of Paul, therefore, is most likely the Rufus of Mark, the son of Simon of Cyrene who carried the cross of Jesus. So, although Paul never mentions a spiritual father in his writings, he does make a point to send greetings to his spiritual mother. His spiritual mother was likely an African woman from Cyrene (Cyrene is located on the north coast of Africa), the mother of Rufus and the wife of Simon of Cyrene who carried the cross of Jesus." -- Eddie Hyatt