Has a Women's World Cup game ever ended 3-3?
It has. 3-3 has been a Women's World Cup final 5 times in 348 games. The first was United States and China drew on June 6, 1995; the latest was Scotland and Argentina drew on June 19, 2019.
That makes 3-3 the 13th most common final score out of 28 that have ever occurred in Women's World Cup. One point away, 4-3 has happened 1 times and 3-4 has happened never.