If you go to the ED you will only be held as an inpatient if they determine you are a danger to yourself or others. But in a non life or death situation like psychosis or something very acute - the ED will only tell you to follow up with an outpatient care provider.

One of your best options is NYC Health and Hospitals Express Care system. Go to expresscare.nyc

They take Medicaid or the NYS Essential Plan as payment. If you aren't signed up for either they will help you sign up. If you don't qualify for either and have to pay out of pocket, it's a flat rate of $125. But if you are single parent I think you qualify. Even if you don't have a valid visa or green card - they can help.

Once you have even a telehealth visit with them they can get you in for follow up care and help you manage your mental health. They want to make sure you don't end up in the ED with suicidal ideation.

Take care of yourself, your mental health is as important as your physical health.