If Jesus is the Lord and Savior of everyone, not just you, can you claim him as your personal Lord and Savior? Consider this analogy. If you employed a chef to come into your home and make your meals you could claim him as your personal chef. But, if you went to a restaurant you could not claim the chef to be your personal chef because he is everyone’s chef. Similarly if you bought your own car then you can claim it as your own personal car. But if you share a group use car you could not claim it as your own personal car.
Now, if you want to say he is personal because he is very approachable then you could just say he is personable.
But, if you want to say he is personal because you feel it should not be public knowledge that he is your Lord and Saviour, its just too intimate to share with others, then you must realize that he is everyone’s Lord and Saviour. And Jesus said not to hide your laptop under a bushel.
So, we can make a more politically correct prayer. please pray after me. I accept Jesus into my heart as my public, but personable, Lord and Savior.