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"I was sitting on my board relaxing. I saw a large object, it was the color of a dolphin," Dempsey told KSBY-TV.
"It bit my board, [I] realized it wasn't a dolphin... and I just turned around and just started swimming," she told the San Luis Obispo Tribune.
Other surfers helped Dempsey recover her board and head for shore.
Wildlife officials said the shark, which Dempsey estimated to be 7 or 8 feet long, was likely a juvenile great white shark.
Dempsey said she was "in shock," but the shark attack wasn't the worst part of her day.
"And I didn't get a wave," she said. "That's the worst part -- I got no waves."