I don't fully get your question because I think you're focussing on the wrong thing (in my opinion). You can ask your state or local schools that question (or check with private schools, etc. to see if you have options). It would depend locally to see what's accepted.
I get what you are concerned about where you're near a cut off date though. This comes up a lot on this site.
I have children who are near the cut off date on either side - and the cut off dates have changed over the years.
So one of mine is one of the oldest of the class, and I have another who is one of the younger ones.
It also depends (I find) on maturity levels and somewhat on birth order. Some kids are also natural leaders and some are just followers. So there are factors here that come into play, as well as (of course) their learning ability and social skills.
The thing is, as others have mentioned, a lot of this evens out at around grade 3. All kids sort of come into kindergarten and kind of just sort of get through it and learn all these things - the basics, and a lot of it is social skills and how to sit, listen, get along, share, participate, etc. How to handle school - lining up, paying attention, get through the school day, etc.
So skipping it - I don't know. I personally would not. Not unless you had something else planned. Home schooling or something else at least. Home schooling is a whole other option that is just as (if not more) effective - but don't skip a year of education for your child. Maybe you've looked into options.
A LOT of children turn 6 in kindergarten. In our experience, most kids turn six in the spring (from Jan on through May) with the majority around March/April here. Maybe it's the climate :) However, that's when the invites come in to parties. So a lot of kids have birthdays then. But there certainly are some in November - my kids have friends then, and we have some winter birthdays in our family.
I agree you don't necessarily want her to be the youngest in her class. I was the youngest in mine and in the later years, it sucks being the last to be able to drive, drink, etc.
Just something to consider. Good luck :)