┑( ̄Д  ̄)┍ How is she actually supposed to find her match when she's having to act like, and pretending to be someone else?
That's the point. She doesn't have to find her match because she's filling up some one else's place, she just has to act. And if she fell in love that's her choice. She'll be fine even if she doesn't.
┑( ̄Д  ̄)┍ How is she actually supposed to find her match when she's having to act like, and pretending to be someone else?