Nuva ring question.

Lindsey
So I'll take out my Nuva ring on a Monday to start my period, but it never actually stars until Thursday or Friday, so when I put my new Nuva ring in on the following Monday, I'm still ver bloody. I've observed this for a few months now and it always starts 3 or 4 days later. 
So my question is should I keep taking it out on Monday or should I take it out on Thursdays so I have a full cycle?