When following the Celestial Protectorate objective there is a tactical choice to make after each battle.
+D3 CP's can be attained from making the Emissary's Report. The drawback is your warband leader misses the next battle if you choose to do this. A new leader is temporarily appointed for the next game.
It is a risky business if your warband has a strong leader. He may mess up the next game by going to make the Report. However, you stand a 1 in 3 chance of earning 3 CP's out of. m
If you have an average leader such as the Battle Monks of Cathay warband does, then the risk is usually always worth accepting.