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The German title of that series kind of "splits the difference"
It's "Mord ist ihr Hobby", so murder is her hobby. (Isn't she supposed to be a professional writer? Oh, wait, of crime stories, and she solves "real-life" crimes …)
But as you should have noticed, the single-syllable German word for murder is the first syllable of Sauron's realm.
JRRT was proficient in more historical (and current) variants of Germanic languages than I am, for certain … 🤔
I think it's probably based on the root of the word. 'Mor' is used with death and destruction in many words. 'Muerte' in Spanish means death, and 'mort' in French, means dead. The words 'mortal' and 'mortuary' in English (Germanic), have their first syllable as 'mort'. Of course, JRRT may have taken it from German, but I've always considered it as 'mor' + 'dor'.