The effects of grade-skipping are long-term, and the problem is you cannot possess all the cards to make a completely informed decision at this time. I'm sure your DD will adjust to Grade 1 beautifully if a school accepts her there, the issue however is that she may eventually lag more and more behind her classmates socially and emotionally - and it's just that today the social differences are so minimal they are hard to recognize.
This is from my perspective as a student who skipped a grade at 12 and felt completely excluded from the high school social scene as a result of my own immaturity. I thrived academically, but when you are a teenager developing your own identity, academics are not everything

There are plenty of children with such a significant difference between their academic talents and social maturity, for whom one cannot find the perfect placement.
Your daughter might also have no difficulties whatsoever!
Good luck with you decision.