I have heard of many toddler teachers who like to start a child a little older. There is an infant room there also. It sounds as if you are providing a stimulating, loving, and rational environment in which she can grow. A good toddler program can be an extension of the same. Respectful boundary setting is an ongoing lesson in our classroom.
Children learn from one another, by observing and doing.
An experienced toddler directress wil observe your little girl and design materials and lessons that will educate her movement, mind and hand. She will have the opportunity to begin mastering tasks that are the precursor to reading and writing. Her concentration skills will increase to assist her in continuing her joyous experience of learning.