The term "higher power" gets bandied about quite a lot in theological discussions. Although we might think we're all speaking the same language when we use that phrase, I'm skeptical of that based on personal observation.
What does "higher power" mean, exactly? Higher than what?
My
current understanding (it looks like I posted in this thread previously, years ago, but I do not remember what I posted and chose not to look quite yet) is that in most creed-related contexts a "higher power" is understood to be any hypothetical third party
higher in authority, wisdom or perception than both oneself or one's interlocutors. The
power part is a subtle yet effective insinuation that it would breach proper protocol to attempt to question that higher power's express will.
It is an interesting concept, existing at or near the intersection of legalist and supernaturalist expectations.
I would advise against using it, though. Precisely because it is either supernaturalistic or visiting the general area of supernaturalism. And it is never constructive to mix the social rule with supernaturalistic perspectives.