This is the place, alright!
I'd say the number one thing is SeaWorld. Not far from WDW and odds are your daughter would love it. Cost is about the same as any other theme park, around $60 for adults. If you've got $700 to burn you could go to Discovery Cove, SeaWorld's smaller and more intimate baby sister, which features a dolphin encounter.
Universal Studios is not really aimed at young children and I would (at best) save it until she's a few years older.
If you truly have a full day, Kennedy Space Center is a possibility. It's a 75-90 minute drive each way. If you go on Nov 18 or 19 one of the
Disney Cruise Line ships will be in port until 5:00 at Port Canaveral, very close to KSC. Worth a small side trip just to gawk at it. On Sundays the huge
Royal Caribbean "Mariner of the Seas" is usually there too.
More relaxing: go visit Celebration just south of WDW, and have a nice lunch there. Only a half-day. We've never gotten around to it but would like to.
In the Unofficial Guide to WDW it says that when 4 year olds are asked what their favorite thing about their WDW vacation was, the most popular answer is the swimming pool at their resort. So give that some consideration too.