  We have found the Quasi Normal Mode (QNM) frequencies of a class of static
spherically symmetric spacetimes having a {\it {smeared}} matter distribution,
parameterized by $\Theta$ - an inherent length scale. Here our main focus is on
the QNMs for the odd parity perturbation in this background geometry. The
results presented here for diffused mass distribution reveal significant
changes in the QNM spectrum. This could be relevant for future generation
(cosmological) observations, specifically to distinguish the signals of GW from
a non-singular source in contrast to a singular geometry. We also provide
numerical estimates for the $\Theta$-corrected QNM spectrum applicable to
typical globular cluster like spherical galaxies having a Gaussian spread in
their mass distribution. We find that the $\Theta$-correction to the GW signal
due to smeared distribution is accessible to present day observational
precision.
