I find this development a bit too cliché, to be honest.
Arranged marriage, strict family, obedient child who makes up for her father's freedom by tying herself down, social pressure, and all that jazz... been there, read that...
If I were to think about this realistically, I can't see how this can be resolved. In Asian culture, not obeying your parents and making them lose face is a big taboo. Not to say it can't be done, but the consequences are usually quite heavy. In that context, throwing away her whole family just to be with Yuzu would be out of character for Mei.
But, she should have told her. Because it will hurt more when Yuzu feels "betrayed" and realizes she's been lied to.
But I guess there will be a "positive" resolution at some point. I put my money on some "Mei breaking off the engagement, has sex with Yuzu, gets up in the morning before she wakes up and goes abroad to do whatever. Yuzu is all brokenhearted, but they eventually reunite a few years later and they live happily ever after, having numerous science babies".