Sports hunting violates the mitzvot against cruel treatment of animals (tzaar baali chayim). If hunting is the only alternative to dying oneself, then it is permitted.
A hunted animal is not kosher (trayf) because it was not killed in the strictly humane way that Jewish Law mandates. If the home doesn't follow the laws of kashrut, then this argument against hunting is harder to make. Best Wishes,
Rabbi Barry Dov Lerner
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I am sure that that is Rabbi Lerner's opinion, but hunting which was once done with spears, arrows and traps, which were probably more cruel. But I fail to see how a gunshot to the head or heart is more humane than slitting the animal's throat. I think I would opt for the gun, were I a moose.