The Northern Duke Needs a Warm Hug is a Manga/Manhwa/Manhua in english language, Drama series, english chapters have been translated and you can read them here. You are reading chapters on www.mgeko.cc fastest updating comic site. The Summary is

When the talented imperial wizard Nisha makes an unconventional deal with King Frei, she goes on a mission to lift the curse of the Grand Duke of the North, Lanfel Delore! Turns out that the dark and handsome Duke Lanfel isn’t as strong as he appears to be, and it seems like the freezing gray days of winter is a bit too much for the Duke’s frail body. While Nisha does her research around the Duke’s manor to lift his curse, she simultaneously becomes his caretaker. Little does she know that her deal with King Frei could bring her and Duke Lanfel together in more ways than one…