Responses
She's hiding it because she is embarrassed. When he first saw her walking in the city and asked her if she was the one who helped him, she accidentally replied that it wasn't her. So now she doesn't want him to find out and think she's a liar. Really just a slippery slope and very naive of her, but it's true to her character of being a teenage girl.
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I can't remember the reason, why does she want to hide her identity from general?