I feel like people are misunderstanding Yuzu or perhaps I'm the one misunderstanding her.
The way I see it, Mei made it sound like she was doing it because she was grateful and not because she likes her. I believe that Yuzu wanted to wait until their feelings are mutual before they take a step further into their relationship. And this led to a huge misunderstanding between them two.
Maybe I'm reading into this a bit too much. We won't know until the Manga progresses.