What do you do when you don’t have a job to have health insurance through?

I need health insurance but I don’t have a job right now because I’m staying home to look after my baby and kid. My significant other has insurance through his job for himself and the baby but they won’t let me be on it because we’re not married. He makes enough to get us by for now but we can’t afford daycare or a sitter for me to have a job. I have tried to sign up for Medicaid and other benefits through my Texas health benefits but we were denied. What am I suppose to do? I need to get check ups and go to the dentist 🙁