Wooden floors and underfloor heating are a good combination, especially when the Duoplank Oak range is used. This particular product is guaranteed which is quite different than suitable.
All of course depends on how the underfloor heating system is treated, the maximum temperature of the sub floor (in this case underneath the wooden floor) is allowed to reach is 28 degrees Celsius. Note, this is not the temperature of the water in water systems, the water itself will be warmer and depends on which system you have bought. Please refer to the instructions of the UFH system itself for guidance in this.
Underfloor heating is a so-called radiant heat source, 'radiating' its warmth to the room - versus convection heat from standard central heating radiators.
Your whole floor in fact radiates the warmth and this should therefore not be obstructed by placing rugs on your wooden floor.
This is what can happen when you do:
Two years after this floor was installed the owner noticed the rug (underneath a table) was lifting. Removing the rug he did not discover a hidden toy what he first thought was causing the 'bump' but the delaminating of one of the boards.
The extra insulation of the rug allowed a build up of heat which then softened the adhesive between toplayer and backing to aloow the tensions in the Oak to pull it apart.
Underfloor heating and wooden flooring is fine, adding a rug isn't!