Personally, I think a Bow emote is a nice way to show respect to your opponent after killing them. It's much better than a laugh or slow clap, more serious than celebrating, and it will let your opponent know it was a good and fair fight.
It's hard to choose which badge would give this emote, but I think the best fit would be the Champion badge. Mainly because a bow is a fitting, respectful end to a battle, and so is completing a tournament.
I WOULD attach an image of what the bow could look like, but I don't have perms to do so. So, think of it as when character "V2" from the 2020 video game "ULTRAKILL" bows to the player before fighting them in level 1-4, "Claire De Lune". (That's the best example I could think of.)