Welcome!
I'd start simply by reassuring you that a toddler needs very little in the way of structured, formal education. It is developmentally entirely appropriate and healthy for her to spend all of her time playing, exploring, and experimenting with the environment and personal interactions around her. Toddlers and preschoolers also do not need to develop organization and time management skills, through homework or any other extrinsically structured activity. I would go so far as to say that it is unhealthy and counter-productive to attempt to do so.
Secondly, placement decisions that you make for this next year or two do not obligate you to any particular path for subsequent years (although I understand that some programs have limited points of entry). What is best for her and your family system in one year may not be best for her in a future year. Less so-called academic rigor in preschool most certainly will not put her "behind".
