The Whites won 1-0 at the Crabble - the only ground in any of the three National League to see any action.
It took a lot of man power to beat the snow and thanks to Mitch Pinnock’s late winner, Dover jump up into the top seven.
They hold a play-off place after nudging out AFC Fylde and for Kinnear the win was for all those who helped get the better of the weather.
“People raised their eyebrows and said there was no way the game should be on,” said Kinnear on the club’s website.
“But it was the right decision - and three points shows how important it was that we did manage to get it on.
“Now we have got to recover as best we can for Tuesday night’s game up at Chester.
“Our lads are learning all the time. Some would have felt sorry for themselves (after losing to AFC Fylde) but they have showed great character to come back.
“That doesn’t surprise me either. I have been proud of them all season and I hope they get what they deserve at the end of it.”
Kinnear thinks his side were value for the 1-0 win - just about.
“It was a good game but I think we just about edged it,” he added.
“The pitch wasn’t the easiest and we had to adapt. Our goalkeeper had to have a good game but you expect that against a club as big as Leyton Orient.”