She probably said she didn't like anyone because she didn't want to attract more attention. Based on what we know of her, she doesn't like being the center of attention and she might think it's safer for Yeonwoo. She might be worried that he'll get bullied.
Thank you for the update in March! Please consider updating this manga series though, there are 5 volumes total out at the moment and it would be nice to read the rest of the series in English! (๑•ㅂ•)و✧
GDWGHHWDH THEYRE SCREWED