  A Baker omitted value, in short \textit{bov} of a transcendental meromorphic
function $f$ is an omitted value such that there is a disk $D$ centered at the
bov for which each component of the boundary of $f^{-1}(D)$ is bounded.
Assuming all the iterates $f^n$ are analytic in a neighborhood of its bov, this
article proves that the number of Herman rings of a particular period is finite
and every Julia component intersects the boundaries of at most finitely many
Herman rings. Further, if the bov is the only limit point of the critical
values then it is shown that $f$ has infinitely many repelling fixed points. If
a repelling periodic point of period $p$ is on the boundary of a $p$-periodic
rotation domain then the periodic point is shown to be on the boundary of
infinitely many Fatou components. Under additional assumptions on the critical
points, a sufficient condition is found for a Julia component to be singleton.
As a consequence, it is proved that if the boundary of a wandering domain $W$
accumulates at some point of the plane under the iteration of $f$ then each
limit of $f^n$ on $W$ is either a parabolic periodic point or in the
$\omega$-limit set of recurrent critical points. Using the same ideas, the
boundary of rotation domains are shown to be in the $\omega$-limit set of
recurrent critical points.
