In my very humble opinion, no you're not being hard headed about this.
I see one other solution in regard to scheduled actitivies and it may sound loopy, but for instance, if she has music lessons have two teachers or an online lesson? For other activities like team sports this obviously is not doable, but you could always travel to your daughter and be the chauffeur/chaperone for those. I see your daughter is three, a lot of things can and will change before that time I think.
(((mykarma)))
BITS Me-51, WAS-52 Kids 2 M-26yrs, H.left 2009, 2 more Bomb drops, Reconnection spring 2013 Change is inevitable, personal growth is a choice. Love is a action and choice you make, every day.