Sorry about your loss of a calf.
We had a cow last year who calved and her calf was dead, like yours no apparant reason. Managed to get a calf of a couple of days from a local dairy farm, and thank goodness the cow accepted it straight away. She is not a heifer though, and has had a good few calves. Made an odd couple, but she reared it well.
Most cows are pretty good at accepting another calf...so hopefully yours will too. With it being your heifers first calving, it may take a little time, for her to take to it.