Best way to determine what restrictions, if any on rentals is to read the dead restrictions for that section. Deed restrictions can be found on the county's website. You will need the village and section to know which one to look at. Here is the web address for Sumter County;
VCDD Deed Compliance - Sumter County
You will need the district and the property identifier for example, VNH#80V034
VHN is villages house number 80 is the section in the CCD, this example is in district 13 section 80 go to the above link and you can pull the deed restrictions for any home in The Villages in Sumter County.