Popa, I don’t assume you mean in a case of severe pain as well. See R’ma E.H. 5;19 that although the Halacha is that it’s always muttar, in a case of extreme pain, the Minhag is to keep the Chumrah to abstain.
I meant the normal routine issues inherent in slitting the neck of a living animal and letting it bleed and suffocate to death.