It actually has (under current standards) very broad identification requirements.
Florida drivers license
Florida state ID card
US passport or passport card
Military identification
Student ID
Public assistance ID
Veterans Health ID card issued by US Department of Veterans Affairs
Retirement center ID
Neighborhood association ID
Debit or credit card
Florida concealed weapon license
Employee ID issued by US, Florida, or local government
If your driver's license is a real ID, it should have a white star in a gold circle in the upper right corner. If your name changed when you divorced, you should not have been issued a real ID without a copy of it (or some other documentation of the name change). If it didn't change - OR - if it changed from your maiden name to your married name and back to your maiden name you can sometimes sneak by by omitting the name change. I was briefly married and changed my name, but since I went right back to my maiden name and never changed it again (and all of my formal records were in my maiden name) I didn't produce either marriage or divorce documentation when I got my Real ID. Once you disclose a name change (e.g. by showing a marriage license), they aren't supposed to let you by without requiring proof of a change back.
Voter ID requirements that require voters who have been voting their entire life to have a Real ID is a hot-button issue for me, since not too long ago I was fighting not only the world in general - but also way too many DU members who do not understand how discriminatory it was. When Republicans first started introducing such measures, way too many people here insisted it was no big deal - despite it falling most heavily on people who are poor (and don't have access to the documents for financial reasons), people who are elderly (home births weren't recorded, records lost over time, people who could vouch for their birth no longer alive - because they were obviously old enough to remember the births), women (whose name change so they can't easily trace from birth to present), and minorities (many older blacks were born at home because hospitals were not accessible to them - so their births weren't necessarily recorded; alternative documents like baptismal records were sometimes destroyed in church burnings, etc.)