  We obtain sharp rotation bounds for the subclass of homeomorphisms
$f:\mathbb{C}\to\mathbb{C}$ of finite distortion which have distortion function
in $L^p_{loc}$, $p>1$, and for which a H\"older continuous inverse is
available. The interest in this class is partially motivated by examples
arising from fluid mechanics. Our rotation bounds hereby presented improve the
existing ones, for which the H\"older continuity is not assumed. We also
present examples proving sharpness.
