Strange question I know.

I'm kind of confused here, I have Medicaid it comes with insurance plan. Some kind of medicaid plan just like Obamacare health insurance, but I can only choose 1 plan  3-4 plans that they offer thru medicaid. I already pre-registered at the hospital I will give birth, Now my question is.... If anything serious happens to me like say perhaps I need an ambulance then I won't be taken to the hospital I will deliver my baby at then what will happen? Will the other hospital accept my Medicaid insurance plan? I don't understand how the whole system works. Because the pre-natal clinic I go to now the guy told me once your here with us you have to stay with us and I will be delivering my baby at the hospital they provide. Hmm. Pllleease explain this to me someone. Anyone, I always have this thought to ask someone but never knew who.