Absolutely not, and let me explain why: Vulgarity and obscenity don't fall within the First Amendment. Religious and political speech do. That said, I don't see why any municipality would bother legislating swear words. Anyone who actually intruded on another's rights while using them would be disturbing the peace, and probably acting in a manner that would disturb the speech even with clean language.
With a few exceptions (so-called "fighting words") vulgarity IS protected speech. What this woman said falls under the First Amendment.
From http://www.firstamendmentcenter.org/analysis.aspx?id=18508:
Almost 30 years later in 1971, the high court limited Chaplinsky in Cohen v. California by holding that an individual could not be held criminally liable for wearing a jacket into a courthouse that said "F*** the Draft". [my note - the jacket had the real F-word ] The Supreme Court distinguished the two by explaining that Cohen's action was a "simple public display" as opposed to a direct insult or intent to incite harm, as was the case in Chaplinsky.