Oh Sadgranma, I'm assuming that you are talking about your daughter-in-law, mother of your darling grandchild.
I think most new mum's tend to gravitate towards their own parents in the early days, it's where she will feel most comfortable.
I do think most new parents are concerned about pictures being posted on social media sites, I think it's because the photos are often used and altered by paedophiles (apologies if I've got that wrong).
Both of my daughters now have little ones and, since the children were born, they have stayed in their own homes for Christmas day. Try to remember, they are building their own little family, making happy memories, just like we did.
All of my grandchildren have spent time in Daycare and, as long as your ds and dil have chosen a good one, it will be an enriching experience for your cherished grandchild.
Please try to step back a little and, with time and patience on all sides, I'm sure you will be able to build a lovely relationship with the baby