Some places are open 24 hours and on Sunday's, you just have to find one.
Have a look at this thread and give a few a call.
http://forums.budgiebreeders.asn.au/index....ic=6326&hl=vets
Maybe one of these
The Braid Veterinary Hospital, 171 Mayfield Road, Edinburgh, EH9 3AZ, Tel :-0131 667 2478, Mr S.Girling, BVMS(Hons), MRCVS.
Almond Veterinary Centre, 89 Colinton Road, Momingside, Edinburgh, Tel:- 0131 337 1471, Fax :-0131 313 4233, Ian Foster, BVetMed, MRCVS.