No, that wasn't useful.
Okay, I was on NuvaRing for a year and I asked the pharmacist about refrigerating the NuvaRing back then. He explained that NuvaRings could be unrefrigerated for a period of up to 3 months. So, when I bought my 3 months' supply I did not need to worry about storing it in the fridge at all. The pharmacist needed to store it in the fridge though so that it would not require refrigeration after being dispensed to the patient/customer.
So, for a trip to Africa for 10 weeks you will need 3 NuvaRings, and since that is less than 3 months you do not need to worry about refrigeration at all. Probably best not to leave them out in the sun though.
With the NuvaRing, it can be safely left out for up to 3 hours, but since you left it out for 5 hours, you had special directions from the booklet on what to do. Good job saving the booklet and going to it when you're not sure what to do. Did the booklet say that after starting the new ring you would need to use a backup method? If it didn't say to use a backup method than that means you are okay. Sorry, I really don't know the answer to that one.