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She always was attracted to mystery. When the boy (Red, she learned) showed up in town and showed everyone how to catch Pokémon. When Green told her to go after the boy, Red. the whole time, meeting new people and seeing the sights, and maybe saving the world, it was all a mystery to her. And that's why she liked Blue, he was a mystery, something new and exciting.
He was strange to her at first. He was from the same place as red. He was Professor Oak's grandson, yet didn't acknowledge it, and he had figured out she was, well, a she, before anyone else. (Green did not count, she knew from the beginning) He was strange and intriguing to her, and she liked that about him.
When she said she liked him and he said he liked her too, she was happy to uncover a new piece to the infinite puzzle of mystery that was Blue Oak.
She compared her love of mysteries to those old fashion traps in cartons, the ones that cover you in a box. She sees a new and strange thing and in her single-minded focus she traps herself in a box following that thing. She finds that she doesn't actually care that she was following the mystery that was Blue with single-minded focus. He could fight for himself and could fight for her too, she would patch him up afterwards and they would be fine. She didn't like that his job was to battle Pokémon all day, she didn't like that those battles could get out of hand and the organizations didn't care about him, she didn't like how little Blue seemed to care for himself. But she did like Blue, and she liked that he was happy, and she liked that she could contemplate the mystery of her fiancé all day, and that was enough for her.
Blue Oak was a mystery and Yellow Amarillo was going to solve that mystery.