Ahhhh this has happened to me so many times! I once ended up sat in A&E for over 4 hours because the doctors were refusing to give me strips or insulin!
At the start of April, I was called by my surgery and told I needed to go in for a review (which I kindly told them I'd already had one in February, as well as 6-8 weekly consultant appointments at the hospital) and that I wouldn't be able to put in for any of my medication until I had. They then told me there were no appointments until 8/05 - I was down to my last 150 units of insulin so no way that was gonna work. I called up later on that day and asked for a telephone appointment with my nurse who called me back and was shocked at what I'd been told and did me a script straight away and also got me in the next day for a review but without bloods. Maybe try asking for a doctor/your nurse to call you and see if you can sort it over the phone?
Alternatively, if you use the same pharmacy regularly, they are able to dispense items as an emergency and you can owe them the script. I do it quite often as I have a lot of problems with my doctors surgery -_- hey, at least I know it's not just me now though?!!!!