Final answer:
The old woman who turned out to be a goddess that Jason carried across a river is Hera, the queen of the gods and the goddess of marriage and childbirth.
Step-by-step explanation:
The correct answer is A) Hera. In Greek mythology, the old woman who turned out to be a goddess that Jason carried across a river is specifically identified as Hera, the queen of the gods and the goddess of marriage and childbirth. This event is part of the story of Jason and the Argonauts, where Hera disguises herself as an old woman to test his compassion and help him on his quest.