Qenya
nasto
noun. animal, beast
farastea nasto
a beast of the chase (that it is proper to hunt)
farea nasto
hunting animal, beast of prey
There are more words but they are from Tolkien's earlier conceptional periods. Tolkien likely changed these words as he evolved the aesthetics and completeness of the languages. You may even find languages that Tolkien later rejected. Do not mix words from different time periods unless you are familiar with the phonetic developments.
Below: Tolkien's Late Period (1950–1973). These are from Tolkien's late conceptual period — his most settled forms of the languages. Prefer these over the earlier ones above when composing new text.
A word for an “animal” or “beast” the Quenya Verbal System (QVS) from 1948, probably based on the root ᴹ√NĀ and thus originally meaning “✱being” (PE22/111, 116). It appeared in the phrases ᴹQ. farastea nasto “beast of the chase” and ᴹQ. farea nasto “hunting animal, beast of prey”, and in the latter phrase it replaced laman “animal” (PE22/116 note #92).
Neo-Quenya: This word appears nowhere else, and Q. laman “animal” reemerged in the Quendi and Eldar essay of 1959-60, so I prefer that word over nasto.