In a sense she has not yet breeched the order so its hard to cry legal foul until she does so.
HOWEVER I would go to considerable lenght with a solid paper trail starting today to insist upon that I do exercise my right to watch the child for each and every day this summer where she is not personally caring for child--quote the order exactly! Repeat, repeat.Keep exquisite copies. Not phone, not email--good solid paper
The issues of missing the deadline for licensed and bonded dayscare are NOT relevant to the order. The order is exquisitely clear so it seems as to your rights of first refusal or as you put it to watch your own child.
Whether she choses a licensed provider or Attilla the Hun is not really relevant as to your prior right to visitation!
Now to for Mom to compound the problem by using an unlicensed provider only worsens her posture . To intentionally violate a court order puts Mom in the target area for legal action to include contempt,sanctions, your legal costs etc...now I have no clue what is really practical but I think pretty soon you need to make it clear to Mom that you will drag her to court and seek costs out of her hide as well as other remedies ---and be prepared to deliver --no hollow threats --and it might even be wise if you paper the situation well now to have a follow up demand letter go out from skilled family lawyer legal counsel --not free but probably well worth it!
When you paper it now stick strictly to the words of the order and you demand your right of watching child. I'd not even address comments about possible violation of order as to nature of providers license/bond --that's not yet a fact--fact is you chose to exercise your watch rights ahead of any day care options for time periods X, Y, Z....
In some jurisdictions it is not required to have a license or be bonded for day care of a small number of children--I think that is a debate you do not want to open up under the order --it serves no purpose if your visitation rights totally trump that question.
Just lay ramblings---