>>119310272We don't know. The quote appeared in one of Rousseau's books as said by an unspecified great princess. When this book was written Antionette was between 9 and 14, living in Austria, had no tie to France yet, and would've been unknown to Rousseau. It was only attributed to her several decades after her death by anti-monarchists, even though it would've been out of character for her to say.
Some possibilities are that some French noble said it, it's a reference to a Spanish princess from 1660 who supposedly said something similar, or Rousseau made it up entirely as he did with some other things in his book.