Practically all horns are metal bolted on, then covered.
On some of the really old saddles of the 1910-20’s, the metal horns were not covered.
Grandma’s saddle was like that.
Mexican saddles have the very thick, wood horn, but they don’t generally tie hard, but dally carefully, so the rope slides, doesn’t take a hard jerk that may break the wooden horn.
I would take the saddle to a saddlemaker and ask them to remove the horn, but it would make more sense to learn to ride with the horn or get another saddle with a smaller or no horn.
If your saddle is a barrel racing or cutting saddle, those have the sharp taller narrower horns that can poke at you.
Many riders really don’t like those extra tall skinny horns, because if you and the horse fall, they can hurt you badly.