I don´t really understand why there are only those two options?
And the second option means injection in the abscess?
Most of the abscesses I had here I rinsed myself daily with H2O2 (after opened by the vet) and the vet only controlled after a couple of days.
Having her two weeks in another place seems like a lot of stress to me, I probably would prefer the surgery. Fot the anesthesia- iis the risk really that bad? Had so many piggies narcotized over the years and all did absolutly fine. Sure there is always a risk, but I wouldn´t worry about it that much (it depends on the medication used obviously however).
But should you decide for the other thing- couldn´t your other pig go, too? Would definitly do that, wouldn´t be that stressful for Flickers that way.
But I think they would get along even after seperated two weeks when they do now.