Let's turn to Merriam-Webster for a quick definition:
"Acronym: a word (as NATO, radar, or snafu) formed from the initial letter or letters of each of the successive parts or major parts of a compound term; also : an abbreviation (as FBI) formed from initial letters : INITIALISM."
And another:
"Anagram: a word or phrase made by transposing the letters of another word or phrase."
Thus, an anagram of the word "god" is "dog." "God" on its own is not an acronym.
But wait a second. If you have an organization called the "General Order of Dirigibles," then GOD indeed serves as an acronym. Isn't language fun?
OK, I'll shut up now.