I agree with @Crystal
Following for advice
I would say don't mention the other stuff to the doctor but let your partner know. You needed to have someone with you and the baby at all times till your on some medication. Just because you stated you haven't done it cause it hasn't been convenient at the time. What happens when the time is aligned? You wouldn't want to do something in the moment and then regret it. So speak about it with your partner so there's a safety plan in place for you and the baby. (No judgement, just concern sorry if it comes off judgy)
It sounds to me like exactly how I felt when I was diagnosed with really bad postpartum anxiety. How old is baby?
Safety precautions sound like a good idea for you and baby. Also, a symptom of OCD can be intrusive, unwanted thoughts. Just something to perhaps research and see if it aligns.
I'm sorry that baby is inconsolable and it's really hard when they just cry and cry . I think you should just tell your doctor that when the baby won't stop crying and you've tried everything to calm baby it overwhelms you. Don't say anything else about the other stuff. And just ask for anxiety medicine.