Can I love you even if it is Impossible?

Can we try to make it Possible?

In the 60's, shy university student Seohyun found a wounded wolf while she was on tracks going to school. She didn't think twice to cure the wolf since her mother is a Veterinarian and she is capable of cure different animals. She doesn't know that this wolf can trnasform into a human. The wolf, Cho Kyuhyun, already fell inlove to Seohyun after her caring towards him. When the two finally met each other, Seohyun think that she can't love Kyuhyun since he was a wolf and it may bring harm to her and her family. One day, Seohyun decided to flew off to States to forget the pain in her heart and also to forget Kyuhyun.

In the Present, Seohyun's daughter Kim Seul Gi ( You ) accidentally bumped to Kyuhyun's son , Byun Baekhyun. You admitted that you fell love at first sight to him. Baekhyun also feel the same way.. but he is different to you....

What will you two do?

Fight for the Love that is Possible or think and leave of it as an Impossible?