Stupid question

I literally can't find an answer to this question online. I kind of feel embarrassed calling the hospital to ask... anyways.

I have health safety net right now which is basically "emergency insurance" while I wait for my actual insurance to process. This health safety net only covers certain facilities, hospitals being one.

I had a miscarriage last month and am pregnant again and want to go to a doctor to get my levels checked, etc. I don't want to go to the ER for something that's not an emergency. Do hospitals have somewhere you can go to be seen for NON emergencies?