Contumely is an old-fashioned term that means "nasty, insulting speech," like the contumely heaped on the opposing team by a home team's fans.
Don't be led astray by that -ly ending: contumely is a noun, not an adverb. Use contumely when you need an impressive (if obscure) way to say "contemptuous language" or "offensive behavior." You might stop a bully in his tracks by shouting, "I don't have to put up with this contumely!" Experts believe this word comes from the Latin contumax, "haughty or insolent."