The word ᴱQ. men (mem-) “nose, beak” appeared in the Qenya Lexicon of the 1910s derived from the early root ᴱ√MEME (QL/61).

Neo-Quenya: In later writings, Tolkien used ᴹQ. nengwe for “nose”, but I think it might be worth adapting this word as ᴺQ. mén (mem-) “beak”, with a long vowel to help distinguish it from Q. men “way”. This derivation is similar to ᴹQ. kén (kem-) “soil, earth” < ᴹ√KEM from The Etymologies of the 1930s (Ety/KEM); hat-tip to Röandil for suggesting this comparison and the form mén.