I think it was a drama with many episodes. The lead actrice was a daughter-in-law. I think she got divorced and she went to America. There she became a famous painter. Nobody in Korea knows this. After some years she came back to Korea and she kept it a secret  that she was a painter.  

Maybe Mama: Nothing to Fear. Though they were not married, they were just exes. And she comes back to Korea with her son, who the guy doesnt know exis

The Korean drama "You Are the Best!", also known as "Lee Soon Shin is the Best") fits this description. It's a long-running series with 50 episodes. The female lead, Lee Soon Shin, is initially a daughter-in-law in a family with complex relationships. After a divorce, she embarks on a journey to become an actress and eventually finds success as a painter. The drama explores themes of family, love, and pursuing one's dreams, with a significant portion of the plot unfolding in America