While probably not floodplains there's a lot of developments around Mexborough built on land near the Don, which probably won't help slowing down water running off into it.
If the developments are built to meet current planning policy then actually it will result in a showing down of water of water run off leaving the site area.
New sites have to limit the amount of water discharging from them to the equivalent greenfield runoff rates.
As this limit is set to accommodate water storage volumes for 1 in 100 years plus 40% for climate change then under most circumstances the discharge rate will be lower.
This is because the deeper water is the faster it will discharge through the limiting devices, this means that a full pond will discharge more water than a half full one. As such until the pond is full the discharge rate will be lower than the maximum.
This is also true when there's been enough rain to make the existing ground so wet that no extra water can be absorbed and so the rainfall runoff is as if it was taking on concrete.
However, unless the storage systems are full, the water being discharged from the site will not exceed the greenfield runoff rates.
As such, much as it sounds wrong, new development generally reduce food risk downstream from the site.