5 Possible reasons why Kofi Kingston appeared on Monday Night Raw alone 

#1. So that Kofi Kingston didn't have an advantage

WWE didn't want to give Kofi an unfair advantage over Daniel Bryan

As a face Champion WWE needs to be careful about giving Kingston an advantage in any of his matches, since The New Day are always in his corner this could be seen as a heel tactic.

Daniel Bryan didn't bring Erick Rowan over to Monday Night Raw with him last night, which meant that in the main event, Kingston would have had an unfair advantage if he was able to have Woods at ringside whilst Bryan had no one.

Having this kind of advantage is usually the way that heels play mind games since they then usually get involved and help their friend to cheat. Since Kingston is a face Champion and Bryan didn't have an advantage of his own there would have been no need for Woods to be at ringside helping him.