A korean drama where the lead character loves a divorced/widow main character

I'm not sure but I think The Prime Minister and I is about a widow man who falls in love with/pretends to be married to a woman.

Alone in Love

crazy for u it's the only thing that i know ,i'm sure u'll like it ,it's different and great story.

Can We Love? is a currently airing Korean drama, in which there are three female characters, but the main female is a divorced woman. Only 6 episodes out so far, but I'm totally in love with this drama!

Can we love Prime minister and I Let's eat The woman who married three times Triple

Family drama My Precious You fits this bill perfectly! And it was the best love line featured too.