"I do regret the word racing [being used] because I think people will get the wrong impression," Ms Treadell said.
"We weren't racing. I'm very clear about that and indeed our rally briefing ... [was] about driving safely."
She said Mr Lowe was an "amazing gentleman" who was donating a lot of time to charity and "perhaps [his] passion might have got the better of him" when he made his "light-hearted" comment.
Sergeant Carl Neustroski, of Hawkes Bay Police, said the constable who fined a Jaguar driver observed many of the cars in the rally being driven sensibly, "apart from the minor unintentional breach".
"If the two drivers mentioned in the article were racing, I hope they now realise how irresponsible driver behaviour of that nature is, and the potential risks to themselves and other road users, especially in the Waioeka Gorge, which has been an area of road where many fatal and serious crashes have occurred," Mr Neustroski said.
Ms Treadell said she was caught speeding as she was coming down a slight gradient, which "probably tipped me over" the speed limit.
The $80 fine is for being caught between 10km/h and 15km/h over the speed limit.
Ms Treadell's communications manager, Chris Harrington, said he did not see anybody racing during the rally.
"Nobody that I know of at that point in time was racing. However some people were pulled over at all sorts of spots for speeding," he said.
"Travelling at just over the speed limit, which Vicki was, doesn't suggest that they were racing, does it."