Hiya,
Most acupuncture courses are run as BSc degrees now, so the normal entry is by A'level. However, mature students are accepted on an individual basis taking previous experience into account.
Its the western medical sciences that you may have difficulty with without any previous science qualifications. Many universities will accept the ITEC (or equivalent) Massage, anatomy and physiology qualification as one A' level and there are some colleges run science access courses too, and as mentioned before, a good shiatsu course would help you get in also, so there is light at the end of the tunnel.
Best wishes, Tony