I had a negative experience on the road recently, and I want to know if I was in the wrong. It's a simple situation: I am leaving a parking lot preparing to turn left on to a main road, another car enters the left turn lane preparing to enter the road I'm leaving. I was there first, so I go ahead to make my left turn, but the other car begins to move as well. We both stopped a few feet from each other, the driver gestures frustratedly for me to go, so I do, and then they blow passed me on my right, even though they were in the left turn lane.
Who was in the wrong for the confusion, who was being unsafe?
I'm not sure intersection rules apply here. Should I have yielded because they are on my right?
Here is a road like the one I was on with the cars in the positions I'm talking about.
I would be the blue one: