Well I've got back from the Jobcentre appointment. They were good about my situation and had noted in my jobseeker's agreement the "impact on work" of my disability was that I should not be expected to have direct face to face or telephone contact with customers. I did show them a rejection letter I'd already received by e-mail, the job had asked for "telephone skills" and I'd been honest about admitting that I wouldn't meet that aspect, but had tried anyway.
Have just set an account up on the NHS Jobs website for an application at the local hospital. Well they do have the two tick symbol, the role did look a bit senior but the jobcentre did seem keen to put me forward for it. Well it doesn't hurt to get started with a new account on the website anyway.