Seriously, try to forget for a moment that you're a good person, stop being patient, and tell them that unless you get an urgent emergency carer's assessment, you will not be answerable for the consequences.
If still no joy, contact your MP, and the local paper. If SS are stringing you along, you're unlikely to be the only one. I don't care how demoralised & underfunded & overworked SS staff are, keeping you waiting without good reason (in the hope that you'll shut up and go away?) is iniquitous!