K.B.
Hi G.-
If you can afford to find childcare elsewhere, I would. Your mother probably feels as though she is somewhat "entitled" to make these decisions because she is the primary caregiver for such a high percentage of your daughter's day. Being the caregiver puts her in more of a parental position than most grandparents are. Most grandparents come in, visit for a few hours or maybe a week or so if they live out of town and then leave. She probably does feel like you "need" her to help raise your daughter because you need her to watch her during the day for you.
Again, if you can afford it I would look elsewhere and just explain to your mom that you want her to be an active grandparent in your daughter's life but that your differences in parenting style make it too hard when she is the caregiver. You could also add that you want your daughter to start learning social skills by being around other children.
Good Luck,
K.