Looking at the pic, I think you approaching the council may not be a good idea.
The road and drive is more than big enough for a car to enter and exit without damaging the grass. Because you have a large commercial vehicle the council might just tell you to do one – or send you a bill for the grass.
Hard to say what is right and wrong as you need the van for your job but, I wouldn’t really be bothered about the grass damage if I was your neighbour. If she didn’t have a wall seperating her garden from the front then maybe different.
She’s probably more miffed that you are anti social and horrible because you drive a van. 😆