I'm of the opinion that this is over the top. At 14 months old she should be ok without you holding her.
Also, if you think you are getting stressed...how do you think the other kids in care feel? It is just as hard on them to listen to her screaming as it is on you.
After 5 weeks, I personally would let her go.
But then after all that hard dedicaded time spent. I would give it another few weeks. We are all so socailly different and some little ones just take a bit longer. The eating this is normal too for a child having a hard time!
Always ensure that your child receives quality care by taking the time to investigate the provider and by asking for references! We simply cannot verify the claims of every daycare provider.
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