Below are suggestions Sooz gave me when we needed a vet in Sheffield about 2 years ago, so don't know if the same vets are in the same places but might be worth a try:
"Hunters Bar veterinary clinic, it's on Ecclesall road: 0114 2663 607. Ask to see Rob or Anita if possible, avoid John.
Also Anneke at Broomhill Vets: 0114 2683 239"