  With quenched disorder, we introduce two-dimensional active nematics
suspended in an incompressible fluid. We write the coarse-grained hydrodynamic
equations of motion for slow variables, viz. density, orientation and flow
fields. The quenched disorder is introduced such that it interacts with the
local orientation at every point with some strength. Disorder strength is tuned
from zero to large values. We numerically study the defect dynamics and
system's kinetics and find that the finite disorder slows the ordering. The
presence of fluid induces large fluctuation in the orientation field, further
disturbing the ordering. The large fluctuation in the orientation field due to
the fluid is so dominant that it reduces the effect of the quenched disorder.
We have also found that the disorder's effect is almost the same for both the
contractile and extensile nature of active stresses in the system. This study
can help {\color{black} to} understand the impact of quenched {\color{black}
disorder} on the ordering kinetics of active gels with nematic interaction
among the constituent objects.
