I'm not getting it.
You were traveling in the W to E direction on the top of the T, the car was traveling N and turning right to travel E. Ped was traveling N crossing perpendicular to the top of the T, on the right crossing next to the car??
If you have no stop sign, then you have right of way. It is his job to turn when it is safe for him. There may be an issue with the ped though. What are the laws (in your area) in regard to when you can enter a crossing area when the pedestrian is still in it?