If you are a good quilter, the pinkish thread would look wonderful on the off white areas. Since I'm not good quilter, I'd match the thread to the area I was quilting to hide it as much as possible.
If I could quilt like I do in my dreams, I'd QID around all the stars and then do a great motif in each of the little pinkish squares using off white thread and in each of the off white squares using pinkish thread. Alas, this is a fantasy for now.