Isaiah Washington may have left Grey’s Anatomy on a bad note, but that’s not stopping fans of the show from celebrating his just-announced return as Dr. Burke. In season 3, Cristina Yang (Sandra Oh) and Burke were engaged.They were working together.They were in love.ere’s what happens: Burke gets wheeled into the ER for some heart problem – dying from a condition related to the organ he and his former love specialize in, how poetic! Cristina turns out to be his doctor, and she finds the old feelings she had for him return.