I was issued a tkt. for an infraction. My first tkt and I feel I was not at fault.

In NYState I was issued a 1140B; fld to yld rt-of-way to veh on rt.
there is a law saying you can turn rt on red. the traffic was moving south and at that time the thru traffic was far enough behind that I did turn rt on red. I then felt a car along side me; pushing me out of the way. I was mortified. she managed to pull over; I parked on sidewalk and we moved to another area and called the police.
She should have seen me coming; slowed down and if she were to hit me; wouldn't it logically be- rear end; rather than along side of me?