She pulled the "Don't you know who I am? I am friends with the police chief!" bit and then she refused to move her car unless the chief of police personally arrived at the scene to ask her.
Judging by her alleged reaction, my guess is the cop didn’t politely ask her to move.
I envision “HEY LADY, MOVE THE GD CAR BEFORE I THROW YOUR SORRY A$$ IN JAIL!”
I believe she was on a power trip. I would never burden the drive thru with a special order. The drive thru is for quick orders and standard stuff. People who are in a hurry/have to get back to work/etc., use the drive thru. If I want a special order, I go inside.