How big would the kindergarten be? Has your daughter visited it?

DS started private school at 4.5 (which means we applied and he visited the school at age 3.5) and it was a tremendous success, but his kindergarten had only 9 kids and his school is very individualized, so there was no risk of him getting lost in the crowd.

I agree with the comments that you shouldn't assume your child will do worse on high school entry tests if she starts school early. DS started early, skipped another grade later and is still at the top of his class and performs well enough on end-of-grade tests to earn merit scholarships at his private school every year. I can't prove it, but I do believe that his good academic record and enduring love of school is a direct result of the skips.