Here are two quotes from the SunSentinel about the lady you were talking about.
"Palm Beach and Broward counties do not ban the feeding of feral cats, but do encourage people who tend feral colonies to have the cats fixed and vaccinated against rabies."
And
"Cat colonies are well established in cities throughout South Florida, including Hollywood, where a rescue group oversees a trap-neuter-return program to help keep the numbers under control."
If there is a similar law in Hollywood they would likely have mentioned it in the article.
So it would appear that the lady from your congregation is not breaking any law. But if she were and if the authorities received a complaint from a neighbor about it they could probably find a way to legally investigate and take action.
In my area, if they see home modifications going on, and if it is work requiring a permit they check to see if a permit is on file and take action if there is not one. Or if there is excavation being done in the yard they can ask for documentation that utility locating procedures have been followed etc. But these items are generally in plain sight.
This one opinion about the general subject of your question:
Code-Enforcement.Com | Investigation
There are plenty of other opinions out there I'm sure.