Here's a video of the interview/conversation/confrontation, which happened only momentarily after the alleged statements, for the record. And she didn't just say it unprovoked to some random poll-worker; it was in response to a question from someone else at a demonstration outside of an early voting location that an (apparently) off-duty poll worker had overheard, who then complained about it to the 'alternative' journalist who I think was already videotaping his side's demonstration across the street. Scroll down a bit on the page to see the video: http://thinkprogress.org/lgbt/2012/05/02/475141/brunstetter-caucasian/?mobile=nc
IMO it's pretty clear she said something questionable; she says that she used the term Caucasian then realizes she probably shouldn't have admitted so, then side-steps/ignores later questions without making any denials.
Well alright.
I think the heat stroke comment kind of leans towards her saying something she regrets.