When I worked at a local retail chain about 20 years ago, the management had a problem with one cashier who ran into similar problems. She worked the cashier lanes, but she would not touch any pork or pig products on her conveyor belt. She would call for a manager to ring it through instead. This slowed down a lot of people, not just herself. The management tried finding other positions for her in the store, areas where she wouldn't have to come into contact with pig products. She refused to move to any other department. She only wanted to be a cashier.

Because of that, they terminated her employment. It just wasn't feasible. I heard about this because apparently she tried to file a discrimination complaint, even though they had made multiple attempts to accommodate her religious needs. If I recall correctly, she got laughed out of court, and rightfully so. But still, is was an odd thing to overhear the management talking about in the break room...