Actress Rita Hayworth's daughter by the late Prince Aly Khan, Princess Yasmin Aga Khan, yesterday married Greek shipping heir Basil Embiricos. The civil ceremony was held in the bride's apartment, next to Hayworth's on Central Park West. The legendary film actress, who is suffering from Alzheimer's disease, was not in attendance. It was ominously reported that the wedding took place yesterday, a month before Moslem and Greek Orthodox ceremonies will take place in Paris, because of Hayworth's failing health. Another reason given was that Ramadan, the month of fasting for Moslems, begins May 20.

The 35-year-old princess, who is president of the Alzheimer's Disease International, has devoted much of her time to her mother. It is the first marriage for her and her 36-year-old husband . . .

The marriage of rock star Bruce Springsteen to model Julianne Phillips was temporarily thrown in question yesterday when New York Daily News columnist Suzy contended the announcement of an early-hours Monday wedding was a ruse to throw reporters and fans off the track. She insisted yesterday would be the day. There was bit of scurrying around out in Lake Oswego, Ore., with family and friends laughing at the contention and finally a court clerk confirmed that the couple had indeed been married Monday. Now maybe they can go off to living happily ever after . . .

There is no ever after for the Osmonds. In filing her divorce suit, singer Marie Osmond said her husband Steve Craig, a former Brigham Young University basketball player, had treated her "cruelly, causing her great mental distress." She requested $1-a-year alimony, reasonable child support and custody of their son, Stephen James, 2. Osmond has the money in the family, but there was no indication if Craig might ask for alimony . . .