Not good enough. She says she wasn't cursing; if the lady was so loud, where are the cops witnesses? Remember that in America a person is innocent until proven guilty.
A person is presumed innocent and thats only for purposes of adjudication not establishing probable cause for arrest
The majority of the time, most police officers won't act on something like this unless a citizen complains. Many times the penal code/city ordinance and department policy are set up to ensure no action is taken unless there is a citizen complaint.
Quite bluntly, most cops won't act on stuff like this unlees there is a complaint becasue of the potential negative press/liability issues like shown here. I'm gonna go with the cop got a copmplaint, tried to get voluntary compliance, and when she gave him no choice, he dealt with her as shown in the article. If I get any reasonable information to the contrary, I can shift my views on it, only because I know I'd rather deal with other things than a loud mouthed idiot