Do you know similar drama to Koi wa Tsuzuku yo Doko Made mo?

I don't want the drama older than 2010.

I want between 2010-2020

I don't want school genre.

I want ML to have a cold character.

It would be nice if the girl got hurt or passed out and he was worried, but it doesn't have to be that way. 

 The genre is of course going to be romance. 

 It doesn't have to be medical, but I don't mind.

May be Kdrama, Jdrama, Tdrama e.t.c

I know you said no school genre but Good Morning Call is veeery similar, in fact is the one that is the closest for me.

Also you can check:

• Goong
• Nodame Cantabile
• Oh my ghostess