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.

Qenya 

qáme

noun. sickness, sickness, [ᴱQ.] nausea

A noun in The Etymologies of the 1930s glossed “sickness” under the root ᴹ√KWAM (Ety/KWAM). ᴱQ. qáme also appeared in the Qenya Lexicon of the 1910s with the glosses “sickness, nausea” under the early root ᴱ√QAMA (QL/76).

Neo-Quenya: For purposes of Neo-Quenya, I would assume this noun applies mainly to stomach illnesses and nausea, as opposed to general sickness which would be [ᴺQ.] hlívë.

líve

noun. sickness

A noun appearing as ᴹQ. líve “sickness” in The Etymologies of the 1930s derived from primitive ᴹ✶slīwē under the root ᴹ√SLIW “sickly” (Ety/SLIW). The ancient initial sl became voiceless hl, which was then voiced to l as was generally the case in The Etymologies. The root had a deleted variant ᴹ√LIW “be sickly, ill”, where líve appeared with the gloss “disease” (EtyAC/LIW).

Neo-Quenya: In Tolkien’s later writing, he usually retained hl- in spelling if not pronunciation; see the entry on how initial voiceless nasals and liquids were voiced for discussion. As such, most Neo-Quenya writers adapt this word as ᴺQ. hlívë. Given the gloss “disease” for its deleted form, I would further assume hlívë specifically refers to sickness by disease.

Conceptual Development: The Qenya Lexicon of the 1910s had the word ᴱQ. leume “sickness” under the similar but earlier root ᴱ√LEẆE (QL/53).

Qenya [Ety/SLIW; EtyAC/LIW] Group: Eldamo. Published by

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.