  (Abridged) The trajectory of Saturn is nowadays known at essentially the same
accuracy level of the inner planets due to the telemetry of the Cassini
spacecraft. Thus, the expected perturbations $\dot\varpi,~\dot\Omega$ due to
PX, for which we suggest the name Telisto in view of its remarkable distance,
on the Kronian apsidal and draconitic orbital motions are theoretically
investigated to tentatively constrain the configuration space of Telisto/Planet
Nine itself. To this aim, we compare our predictions
$\dot\varpi_\textrm{theo},~\dot\Omega_\textrm{theo}$ to the currently available
experimental intervals of values
$\Delta\dot\Omega_\textrm{obs},~\Delta\dot\varpi_\textrm{obs}$ determined by
astronomers in the recent past without explicitly modeling and solving for PX
itself. As such, our results, despite being plausible and in agreement to a
large extent with other constraints released in the literature, should be
regarded as proof-of-principle investigations aimed to encourage more accurate
analyses in future. It turns out that the admissible region in its
configuration space is moderately narrow as far as its position along its
orbit, reckoned by the true anomaly $f_\textrm{X}$, is concerned, being
concentrated around approximately $130~\textrm{deg}\lesssim
f_\textrm{X}\lesssim 240~\textrm{deg}$. Telisto/Planet Nine is certainly far
from its perihelion ($f_\textrm{X}=0~\textrm{deg}$), in agreement with other
recent studies. The future analysis of the data from the ongoing New Horizons
mission might be helpful in further constraining the scenario considered here
for Telisto/Planet Nine. Its impact on the spaceraft's range over a multi-year
span is investigated with a preliminary sensitivity analysis.
