Young Omar Bugiel had the pace to unnerve the Leatherhead defence and also threatened in the air from set-pieces.
But he was booked for deliberate handball when trying to point out a free kick was not taken from the right place and then received a severe talking to for a rash challenge on 40 minutes.
Manager Ian Chapman showed good sense when bringing the youngster off two minutes later.
After the break Hillians did not look as menacing although Wheeler was unlucky to see his angled drive go just the wrong side of the far post after a good break by Lloyd Cotton.
Still, the hosts looked capable of holding on to what they had until the turning point came with that red card.
With both Cotton and Tuck finishing with cramp and several other players suffering knocks, Chapman was expecting to have to conduct a medical roll call before the midweek visit to Whitstable. But at least the squad were still in good heart after making it three games unbeaten.