Nice ring inserted less than 48 hours late?

Kassy
So, I've been on nuva ring for like.. 6 years. But this past time was a little different. First my period was late. It came the Monday I was supposed to insert a new ring, instead of the Saturday  before. It only lasted like 2 days and was super heavy (my normal period is like 3 days)  Real nerve racker, but just saying so in case it matters. 
Okay so I'm supposed to insert a new ring on Monday night. But the doctor couldn't get me in until Wed morning so, well say I was about 32 hours late. Then, about 56 hours later I had in protected sex and then once more about 10 hours later. 
Does anyone know the risk of pregnancy? I can't afford to take a plan B pill. I'm just wondering since I wasn't extremely late and I've been on it continuously for so long if well, ya know..

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