Nobody noticed....and if they did they were probably relieved to know that you did the same thing they once did!!
At least you were fully dressed.....I made it almost all the way to work once before realizing that I had forgotten to put my skirt on!! I had on a slip, a blouse and
planned on putting my skirt on very last thing so I wouldn't get anything on it before I left. I got in the car in the garage, opened the garage door, started the car and left. Thank goodness I looked down at my lap before I actually got to work!!
I bet nobody ever used that excuse for being late before!!