break up their relationship so he can have Miki for himself.
Kei may seem pushy, but he truly cares for Miki and wants the best for her. He composes "For You" as Miki’s Christmas present and shocks everyone by playing it in a competition in lieu of a classical piece.
When Miki consents to dating Kei later in the series, he is a perfect gentleman. He accepts that she will not be able to forget her past relationship and tells her that he only wants her to be happy with him and more forward.