Previously this name used to be listed (if not here then elsewhwere) as a Mediaeval Occitan/Provençal variation of Anne, and I would have hazarded, conflated with Agnes as happens with these two names in other languages in the Mediaeval period (as Margaret/Magdalen, Margaret/Mary also become conflated). The evidence of this name existing in Late Mediaeval French records is at odds with the connection with the Goddess Anahita. Strange.