Praying for a country without a burden is like showing up to work without a brief case. It doesn't work. If you offend some people then that's alright, the world is at stake here. We can't expect to genuinely pray without offending some people. to pray with a burden means that you are emotionally involved with that country. However I want to take it from a different angle.
"Arise and shine, for your light has come" (Isaiah 60:1) The light has been realized and specifically has come to guide you into all truth. He commands you to give all your worship and love to Him