Slaughterer??? Definitely a disturbing thought.
It is obvious that slaughtering and meat preparation are necessary and take place, even if it's not specifically described. I tend to think a description is both not needed and would disturb the Shire's atmosphere by adding too much of the gritty side of reality. Then again, it could be a function of my urbanized lifestyle that I'm uncomfortable with the idea. Maybe if I lived on a farm a century ago where it was part of daily life, I wouldn't have the same reaction.
Here's an interesting thought; Sam cleans and dresses the rabbits that Gollum caught in Ithilien. Gollum, however, is the one who actually catches them. Is it significant that the unpleasant job of killing goes to Gollum rather than the Shire hobbits? Would we think less of Sam if he had been the one to hunt the conies?