Note that with the moon positioned this way, within and off to the side of the ring of Saturn, the normal circular orbit of the moon would destroy the ring! Therefore, its position is incorrect.

In actuality, most of the moons of Saturn are at a greater distance from Saturn than the entire ring (some small new moons being formed are inside "empty" rings, having been accumulated from ring fragments). Also, the moons all orbit in the same plane as the rings.

Source: https://en.wikipedia.org/wiki/Moons_of_Saturn

If the Earth originally had rings, it is fun to speculate that all the ring material might have accumulated to form our Moon.