A TRV is a thermostatic radiator valve. It turns the radiator down, then off, once the room reaches its preset temperature. This reduces energy wastage, and means the top of the radiator is less likely to be scalding, unless the room is very cold and it has turned full on.
It is not used on the radiator in the room where the Wall Thermostat is fitted.
A radiator 100mm wide is probably a double. If a metre and a half long it might output in the region of 2kW of heat, which is reasonable for a room 4m square, depending on construction, age and insulation. A tall thin radiator is not as good at maintaining a comfortable temperature as a wide, short one.
You can get long, low radiators, even skirting-sized ones, that may be less of an obstruction, but you need the same surface area, and they are expensive to buy. There are hidden fan-operated versions that go under kitchen units, also expensive, and need maintenance to clean out dust and sometimes to repair the fans.
If you have wooden floors and don't mind them being taken up, you could have pipes run to a new radiator on a different wall. However kitchens full of units usually have little free wall space.
BTW the rated heat outputs you see in radiator catalogues are always overestimates, due to assumptions made in testing and calculation.