Dorothy actually hadn't intended to eavesdrop, but she couldn't help it; the telepathic communication of the Moon Rabbits to her was completely open, as if they were speaking directly into her ear.
If you asked why, it was probably because, in a certain sense, she had indeed become what the Moon Rabbits called the Goddess of the Moon.
After all, the Goddess of the Moon, to the Moon Rabbits, originally referred to the world consciousness that bore them, and Dorothy had just recently reshaped the laws of the Moon World. In a way, as the author of the world's laws, she now acted with the authority of the world's consciousness.
Looking at it this way, it seemed indeed correct to call her the Moon Rabbits' Goddess of the Moon.
Moreover, because this Moon World had just perished not long ago, the original world's authority hadn't completely dissipated; in the process of Dorothy reshaping the world, she had also inherited those residual powers from the former world.