When you cracked the joke, you wanted to embarrass her; were you being facetious?
Etymology, Etymology, and more Etymology
as well as grammar, usage, euphemism, slang, jargon, semantics (meaning), linguistics, neologism, idiom, word origin, syntax, dialect, lexicon (vocabulary), diction, pidgin, synonym, antonym, homonym, cant, argot, lingo, and redundancy.

The critically-acclaimed board game MooT consists of tough questions about the nuances of the English language.
Answer: no
To joke playfully is to be facetious.
To try to hurt someone with humour is to be sarcastic
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