Has a Women's World Cup game ever ended 5-3?
Exactly once. On September 24, 2005, Slovenia beat Croatia 5-3, and no Women's World Cup game before or since has ended that way. When it happened it was a scorigami, the first 5-3 in league history.
That makes 5-3 the 36th most common final score out of 40 that have ever occurred in Women's World Cup. One point away, 6-3 has happened 1 times and 5-4 has happened never.