If this is the case, the encounter with Lawrence's daughter is itself a flashback to the first time Dolores tried to navigated the maze. We can then assume that Dolores' visions involving the church and graveyard are flashbacks because of traditional style. In this context, they could be things she actually did in the past, or they could be events planted in the depths of her robotic mind, pieces of a puzzle she needs to assemble if she wants to solve the maze game.
So when the church montage ends and the man seems like he's arrived to take Dolores back to her loop, per Stubbs' orders, we can't assume that this encounter happens in the present, thanks to the reverie style of the entire sequence. More likely, this is something that happened to Dolores in the timeline she's in with William, decades before Stubbs gives his order. To make it clear (ha!):
Present: The first appearance of Dolores in Las Mudas
Past: The confrontation with the man and William's intervention
Even further in the past or "imagined": Dolores' encounter with Lawrence's daughter and the church vision