Usually when a woman wears a ring on their right hand ring finger it means they're committed and engaged to be married.
But it doesn't always mean that.
Some people prefer to wear the ring on their right hand ring finger and others prefer to wear the ring on their left hand ring finger.
It just depends on what the woman prefers and how they're comfortable wearing the ring.
Also the right side is closest to the heart so the right hand is more significant to wearing the ring.