Welcome to the board. Good for you figuring out things so soon. It took me at least a year longer till I finally realized that DS5 could be gifted. Doh.
Follow your child lead is one of the best advices. As for preschool and such, find a place where she would be happy. Forget about academics at school, the less the better. She can get all the academics at home. That worked great for DS5. We tried it the other way around for DS4 and his last year in Montessori turned out to be a bad choice.
I bet she likes toys for older kids and 2-3 year old toys don't really do it. I was concerned when DS5 at this age didn't care too much about certain toys and other kids. One of his favorite "toys" was a computer where he typed words he had memorized and copied others from books. Not really a typical 2 year old pastime
Looking at him now my worries were laughable.