  The investigation of the anisotropy of the stochastic gravitational wave
background (SGWB) using the TianQin detector plays a crucial role in studying
the early universe and astrophysics. In this work, we examine the response of
the $AET$ channel of the TianQin Time Delay Interferometry (TDI) to the
anisotropy of the SGWB. We calculate the corresponding angular sensitivity
curves and find that TianQin is capable of detecting the anisotropy of the
SGWB, with an angular sensitivity reaching $10^{-10}$ for quadrupoles. Due to
the fixed $z$-axis of TianQin pointing towards J0806, its overlap reduction
functions (ORFs) exhibit specific symmetries, enabling the resolution of
different multipole moments $\ell m$. The detection sensitivity is optimal for
the $(2, 0)$ mode, with a sensitivity reaching $10^{-10}$. Using the Fisher
matrix approach, we estimate the parameters and find that in the power-law
spectrum model, higher logarithmic amplitudes lead to more effective
reconstruction of the spectral index for all multipole moments. Under the
optimal scenario with a signal amplitude of $\Omega_{\mathrm{GW}} (f =
f_{\mathrm{c}}) h^2 = 10^{-9}$, the spectral indices can be reconstructed with
uncertainties of $10^{-3}$, $10$, and $10^{-3}$ for $\ell = 0$, $1$, and $2$
multipole moments, respectively. For the cases of $(\ell, m) = (0, 0)$, $(1,
1)$, $(2, 0)$, and $(2, 2)$, the spectral indices can be reconstructed with
uncertainties of $10^{-3}$, $10$, $10^{-3}$, and $10$, respectively.
