As an atheist myself, this was a big concern when I joined program. Many texts have triggering words for me, mentions of "God" and biblical-like language
Fortunately, both SAA and SPAA have secular meetings where atheists and agnostics work on recovery. I attend, and I highly recommend them!
At the time of this writing, SAA Secular Sobriety meets every Monday and Wednesday at 6pm PDT.
(See SAA Resources for meeting join info.)
SPAA Atheist and Agnostics meetings are every day at 6pm PDT, and some mornings are well.
Contact SPAA via their form on the main website for meeting join info.
In SAA, we read Beyond Belief
and also Staying Sober Without God by Jeffrey Munn.
In SPAA we have varying sources, including adaptations from the Big Book and elsewhere.
Stay tuned- I'll be adding more here later :)