"The woman is not short."
Translation:A nő nem alacsony.
You might misremember something there. The verb nincs is a contraction of nem and van. It's usually used for talking about the non-existence of something: "Nincs alacsony sofőr" - "There is no short driver." It can also be used for talking about where or when something is not, since talking about location and temporality needs the verb van: "Az alacsony sofőr nincs ebben az épületben" - "The short driver is not in this building."
Instead, nem is an adverb that negates the word that's following.