This is the sly way to say pussy without being crude or using proper term such vagina. It is taken because the shape of an actual llama's mouth is similar to one of a female southern lips. In addition, they both spit.
Coming from the song: "Don't Wanna Trust a Llama" REMIX by Chynaman feat. Savage
Let me pet your llama!
You know her llama has been around the block, no... the neighborhood, no... the community! lol
Ooo I wouldn't hit that cause everyone knows she has a dirty llama