FL is cold and doesn't know what is the love because, she has sad past.

ML feels in love with her at first !!!! he tries to get FL's attention and make her to love him back but, he always get rejected by her

At end,ML's warm and kind-hearted helps FL and she learns about love too


I only know two dramas with this type of story but the ending of both of them are disappointed for me


Swordsman ------> ML gets married to SFL which is still unacceptable for me

Empress Ki -----> ML dies at end


thanks for your help !!!!!

lying heart somehow it match your description  

I Need Romance 3, Live Up to Your Name, Ms. Perfect, The Princess Wei Young and I Hear Your Voice have a lot of the elements you're looking for. Hospital Ship does too, and the FL is played by the actress from Empress Ki.