In this work, we have constructed an actively Q-switched T-DCF laser with an acousto-optic modulator (AOM). Actively Q-switched laser with T-DCF generated stable emission at 1065 nm over a wide repetition rate range of 0 Hz -150 kHz, with the highest measured pulse energy of 1.6mJ limited by stimulated Brillouin scattering (SBS). We attribute the robust operation at low duty cycles to the intrinsically low amplified spontaneous emission (ASE), provided by the tapered fiber shape. In addition to the advantage of the large mode area at the output end of the fiber, the T-DCF provides several other attractive features. First, the vignetting of co-propagating ASE results in ASE power loss in wide-to-narrow end propagation. Second, the low-mode nature of counter-propagating spontaneous emission, arising from mode selection in the narrow part of the fiber, leads to weaker amplification of the spontaneous emission. These two effects contribute to the low ASE background. Finally, fiber diameter modulation is a known method for SBS suppression, and another inherent property of the T-DCF. These characteristics allowed for generation of 1.6mJ, 64 ns pulses at very low duty cycles, up to single shot operation, illustrating the potential of the T-DCF for high-energy pulse generation and amplification.