nuvaring removal and insertion

Every time I remove the nuvaring for the 4th week in order to get my period. it never comes right away, it always comes like 3 or 4 days after I remove it. should i still be re-inserting it after it's been out 7 days, even though usually I'm on my period. or is it safe to wait until my cycle is over and insert a new ring? Am i still protected the same way by waiting or does it become thrown off.