It's doubtful that they might have, considering the period of time, but whether they had sexual relations is not what's important in the story. George could have left her for several reasons, but the fact that Granny Weatherall never knows the reason is more important. She feels she was never able to have closure for what George did because she never knows why. Just stop and think how you would feel if on one of the most important days of your life, your wedding day, the groom doesn't show. Now that she's facing death, she wants answers to the questions in her life, one of them being why George left her at the altar. Her feelings of betrayal, embarrassment, and self-doubt have never left her since that wedding day. It's also an important trait of human nature that we blame ourselves when something goes wrong. Does Granny ever stop to consider that maybe George was just a jerk who didn't want to marry anybody? More than likely, she asks questions such as, "What did I do wrong?" or "What's wrong with me?"
Why is Granny still consumed with this horrible event that happened sixty years ago? Father Connolly comes to visit her, and his visit brings back the painful memories of being left alone only with the priest when George didn't show sixty years ago. Being jilted had to make Granny feel unsure of herself, lowering her self-confidence and self-esteem. Then she feels jilted again when Hapsy, her favorite daughter, doesn't show up at her bedside. Perhaps she's also trying to come to terms with her own mortality, feeling that she's also facing death alone since her husband is dead, Hapsy hasn't shown, and the priest is unable to comfort her.