Interog, the reason why the i3-4330T is not on the list of compatible processors with the DZ87klt motherboard is because it is a tray processor and it is not included in our list. Tray processors are usually found in OEM systems, it is not expected to be found in the regular market.
However, looking at the specifications of the processor, it is probably compatible with this motherboard, since the main difference between the i3-4330t and the i3-4330 is the voltage. ARK | Compare Intel® Products
The processor is compatible with the following chipsets ARK | Intel® Core™ i3-4330T Processor (4M Cache, 3.00 GHz)