Not likely. She is not required to file if she literally has no or very little income. Does she have any income at all?
Assuming you filed a joint federal return, you are not required to file a joint return with Georgia as one of you is a nonresident. The filing requirement is then based on a "what if" she filed a separate federal return. If her "what if" separate federal return wouldn't trigger a required filing, she doesn't need to file Georgia either.
For example, if her income is less than $5200 (and she is under 65 and not blind)- she has no fling obligation with Georgia (as she wouldn't be required to file a federal return if you filed separately).
Just be sure that you are not a resident of Georgia. I don't know your situation, but if you are working in Florida temporarily, and own a home in Georgia, you are still a resident of Georgia.