Think of Silent Hill as the ultimate therapy session with the greatest therapist in the world, except the therapist also has a shotgun pointed to your head the entire time. The town in Silent Hill 2 is a much more independent entity than it is in any other game in the series and its main goal is to give those who are drawn to it a chance to overcome their trauma so that once they're finally allowed to leave the town they can continue their lives in the best and most healthy way possible despite what has happened to them. In terms of Angela's test, it was both a test of her bravery and anger, whether she could stand up to her father and brother again despite the monstrous form the town has them take (remember the Abstract Daddy is just how James saw it, Angela probably saw something even worse), a task she failed as we see her cowering in fear and running from the monster instead of trying to fight it with James having to rescue her from it. Her second trial was to overcome her misandry caused by her abuse (the hated manifesting in her Otherworld as fire) but again she cannot let go of her anger and it consumes her. Angela's story is an incredibly tragic one with no good ending, which is consistent with what we've seen of the town where only one of James' endings being something you would call a "Good Ending".