If you can't view the picture, I'll try to explain. If I am waiting to turn left at a green light (left signal is off), and there is an oncoming vehicle that is turning right but has a yield sign, who has right of way? Me turning left, or the car turning right at the yield sign?
Just know that while the car turning left MUST ensure their turn is done in safety, once they clear the intersection they are now in right of way on the 'new' street. It is the car still turning right on to the 'new' street (i.e. the red car) that must yield to the traffic having the right of way (i.e. the traffic coming off the left turn). The only thing that MIGHT change the situation is if there was a island where both vehicles were entering the road at the same time. But that is not the case here.