For Harris Teeter, the loyalty card is called a "VIC". You do not swipe it, you run it over the scanner just like you do a product at check out.
She would not have "swiped" the VIC card. But I also could not tell if she was paying with cash or card.
You used to be able to swipe your your VIC while the cashier was checking you out. Could also enter you phone number in the little pin number pad to pull up your VIC. Sometime in the last few years they switch to using both little keychain sized VIC and big VIC cards, and the cashiers started scanning the cards or verbally taking your phone number.