There is a person on Instagram, her username is wolfhoundgreyhound, she has a greyhound and up until recently had two Irish wolfhounds. You could check out her pictures.
Our greyhound Kassie lived with two Borzoi and she was fine with it.
Did they do a culture of the infected tissue?
My gryehound Marvin had a front leg amputation and did great. Our Albi (Borzoi Saluki mix) had a front leg amputation and had 3 other surgeries to remove infected tissue. They finally did a culture and found out he had MRSA.
Best wishes for your greyhound.