One criterion is to know the Secret, yes (note that from this we can assume that the disciple is a Devotee, and has at least three affinities at 10w2+...).
Knowing the Great Secret of a Great God basically takes the hero out of play as he "joins the winds/earth...", which means that there are no "Great God Disciples".
We are still working on disciples (and if Greg were in today I'd have the file done for first lookover...)
RR
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