Your last sentence is 100% correct; sadly. :-(
Yes, her coat may be too tight - it’s a different style than Audrey’s. She may have pulled it tight because it was a windy day. Usually she drapes it over her shoulders.
My favorite scene in the movie is when she goes to visit Sally Tomatoes and gets dressed on screen, donning that beautiful LBD, sunglasses and the black picture hat. She finds her heels under the bed. Then she goes outside and whistles up a taxi.