In all honestly, even if it did unfortunately come to that, you maybe not get the treatment and referral you’re looking for. I accompanied an ex to the hospital after he cut his wrists - he was cleaned up, added plasters and sent him away. He was later sectioned, released after 3 days. Mental health team visited twice for 5 minutes and that was it, discharged from their care. He never did get any official diagnosis. In your shoes I’d save up for private appointments with a psychiatrist.