The are a lot of problems with the "argument from fine tuning" but here is one I haven't seen before.
If we assume there is/was a creator god, could it only have created potential worshipers in a universe that relies on natural forces with the values we currently observe?
The argument from fine tuning suggests that because life as we know it could not exist if the fundamental forces of nature were slightly different, then the most likely cause that the values came to be what they are, was an intelligent tuner. But this also suggest that a creator god could not have done things differently. Why not? That certainly cramps the meaning of omnipotent. Or if a god could have done things differently then why couldn't an alternative nature also have done things differently?
There are better, more direct refutations out there. But it seems odd to suggest that
(1) neither a creator god nor nature could have produced a different universe that would support life therefore a creator god is more likely ...or
(2) a creator god could have produced a different universe that would support life but an alternative nature could not have produced a different universe that would support life, therefore a creator god is more likely ...or
(3)both a creator god or an alternative nature could have produced a different universe that would support life therefore a creator god is more likely.
None of these arguments is particularly persuasive on their own. And when the alternatives are also considered each seems even weaker.
