E.F.
You should have refridgerated the Nuvaring.
Your cycle begins on the day your period starts. You are supposed to take your old ring out the first day of your period and insert the new ring 7 days later. If you had a ring in 3 days into your cycle you are putting it in too soon. You need to familiarize yourself with your cycle and the Nuvaring instructions if you want to prevent pregnancy.
Assuming you were mistakingly counting the first day of your cycle as the day your period ended then you are at a big risk for ovulating this month. The Lutenizing Hormone begins to build up toward ovulation at this point in your cycle. At an unknown point you can not prevent ovulation even if you reinsert your degraded Nuvaring.
To prevent pregnancy you should either avoid having sex or carefully use a condom for the rest of this cycle. You can get pregnant up to a week after ovulation. Since we don't know when of if you'll ovulation we can't predict when that will be. You may have a longer than usual cycle this month. If you wish to get pregnant I recommend going off birth control a few months to ensure a healthy egg before you TTC.
It sounds like Nuvaring is the wrong choice of birth control for you. If your husband finds it intolerable during sex that is good enough reason to see your doctor about other options. A good book to read about your cycle and how it works is called "Taking Charge of Your Fertility".