There is absolutely no constitutional issue here. She will not win this case. The entire point of an I.D. card of any type is for the person to be identified.
If she should win, then nobody could be required to show their face on an I.D. You know, equal protection and everything.
She will win. The problem is that Florida is one of those states that will issue a license without a photo. In the place of the photo is the statement "valid without photo." Florida routinely issues these to, among others, military members who claim Florida as a home of record and need to get a license renewed. They send in their money and a new license is issed without a photo attached. What makes her any different? If they do it for one they have to do it for another.