You may be better off leaving her in daycare for now.
The school may try to hold off on letting her begin kindergarten because of her age. The birthday cutoff for NYC is December 31st, meaning she must be 5 be 12/31 of the year she'll enroll.
An example of this arbitrary cutoff point is my daughter and niece, my daughter was born in October 1996 and my niece was born just 3 months later in January 1997. While my daughter will be graduating 5th grade this year my niece won't be starting 5th grade until the fall. NYC wouldn't let my SOL enroll my niece in kindergarten until she was almost 6 because she missed the birthday cut-off by about 2 weeks.
You may be able to get her in early if you put her into private school(if possible), I don't think they are as strict.