I face palmed
check this out.
http://xxxxwww.grindtv.com/outdoor/blog/20668/petite+woman+who+bagged+monster+alligator+defends+trophy+hunt/so this women kills this alligator, her method seems reasonable. A couple shots to the head and maybe a final stab just to get in there real deep like.
just read some of the comments though, she is gettin flamed by the animal lovers with wonderful remarks such as " why is she torturing that harmless animal" .i just wanna put these people in room with a couple alligators, you will understand why we kill these guys.

Changed link do to spam from grindtv