Good article on the subject deserves careful reading:
But our topic says “our Lord.” Is He? There are two answers to this question because there are two points of view, one objective and one subjective. If we stand back and view our relationship with Him as the Creator and the Creation, then absolutely yes, He is everyone’s Lord as we noticed earlier (Acts 10:36; Phil. 2:11). He is Lord of all and one day all will admit that fact. Yet if we consider our personal relationship with Him, and ask, “Is Jesus my Lord?”, there may be a different answer. We’re given the opportunity in this life to voluntarily submit to Him and have Him as our Lord (Josh. 24:14-24). We can choose to do otherwise and often we all do fail to submit to Him and allow our lives to be mastered, controlled, and owned by Him.