Non-accredited Archaeology course?

I've applied for BA Museum studies and Archaeology at the University of Reading, but the course isn't accredited by CIfA. Does this mean I won't be able to work as an Archaeologist after graduation and will I need to do more to do that?

Extremely late post, but on the off chance that you’re still worried: don’t sweat the CIfA thing. As far as I can tell, all it means is that the uni get to put the CIfA logo on their page and the course ‘should’ give you enough experience to apply for PCiFA (practitioner) membership by the time you graduate. As far as I can tell, you still have to make a normal application, and you don’t just get automatic membership.
I worked in commercial fieldwork about a decade ago, and virtually all new staff were able to get PCIfA on the job in their first few months if they even bothered at all. Archaeology is not a licensed profession so unlike being a doctor or a lawyer, you can get a job, and even work your whole career, without any specific qualification or professional membership (although don’t get me wrong, both qualifications and memberships are certainly very helpful!).
To join CIfA, you put together a portfolio of work and a couple of references showing your role in archaeological investigations. The requirements to gain membership at practitioner level would be easily covered by any archaeological or geophysical job at any commercial unit, so it’s not like there would be any meaningful barrier to membership if you didn’t take a CIfA approved degree.
At the time I worked in the industry, Reading was well-respected and a degree from there usually meant people had a bit more practical experience than average. CIfA do accredit degrees from there, and I suspect that the only reason the degree you’re looking at isn’t accredited is because it includes museum studies. Presumably the CIfA lot stuck it in a spreadsheet and decided there weren’t enough fieldwork hours or something. It’s likely got nothing to do with the quality of the course or the teaching.
I can’t guarantee anything, but I don’t see why you couldn’t just apply to CIfA anyway at the end of your degree. And if you’ve done enough extra-curricular stuff and enough fieldwork then maybe you would be able to meet the requirements for membership.
I only joined CIfA myself because I didn’t have an arch degree and I felt I needed something to testify that yes, I really did belong in my job. Once people rose to more senior levels and became eligible for full membership (MCIfA), it was more common for them to join, but at entry-level and supervisory level, probably fewer than half of the people I knew were members.