How long after a c-section is a female deployable?

I'm currently coming up to my 6 month post partum mark and my squadron is looking to deploy me. i have nothing against deploying but at the same time i don't feel as if my body is yet to the point where i can deploy. i haven't complete a full PHA in over a year but the hospital apparently cleared me on that anyway (any ideas on how to fight that?) and or deployment function is pushing to have me deploy this weekend, even though i'm not at my 6 month mark (my son was born dec 26th). They say that since i apparently don't have a profile i'm elegible to deploy. i know that if you have a normal birth you're elegible after 4 months.... Anybody have any ideas as what to do?