Hospital concerns

I have noticed a few posts on here where ladies' OB appointments have been cancelled. I'm still waiting to see if I can qualify for Medicaid before I can even make an appointment. My fear is, with everything considered, I might not be able to get into an OB at all.

So if I end up doctorless, what happens when I go into labor? Can I just go to my nearest hospital, or do they turn you away if you don't already have a doctor?