Sheep would fit, some breeds have horns
Bison
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A five letter word, second letter F is after or often.
Five letter words that can be made from those letters are vodka and goads.
There are no countries (in English) with names five letters long with "s" as the second letter.
Sheep would fit, some breeds have horns
Bambi
Bison
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Resto?
Asian elephant
snail
There is no president who meets your criteria.
Twigs?
A five letter word, second letter F is after or often.