Ok, lets take the idea seriously and broadly. So assuming that god or gods exist, what can we infer about him/her/it/they from the body? Of course we have to divorce this question from any particular religion because we have to rely on the body alone. An obvious difficulty, however, is how do we distinguish between what the gods desire, what they're apathetic about, and what they're powerless to do.
A universal experience, for example, is death. Did the gods design us to die? Did the design not factor that in because the immortality wasn't a design goal? Were the gods simply incapable of designing us to be immortal? Of course all that assumes that we we're designed by the gods in the first place.
Another universal experience is pain. Are the gods sadists who enjoy our pain? Are they apathetic to our pain? Are they incapable of stopping our pain?
So I would suggest that the first order of Body Theology is to show that the body does indeed reveal when the gods desire an outcome, are apathetic about the outcome, or are powerless to stop an outcome. If Body Theology is incapable of making these distinctions then is the body really revealing anything about the invisible?
However, one thing does seem clear. We shouldn't worship gods. If they don't exist, then we shouldn't worship them. If they're sadists, then we shouldn't worship them. If they are apathetic to us, then we shouldn't worship them. If they are incapable, then we shouldn't worship them.