You should observe the aspects the current transiting Pluto eventually makes with other planets in your astrological chart.
Pluto will begin to exert its energy on your Uranus when it forms a conjunction, therefore starting from 2041-2042 (Pluto will enter Pisces in 2044), also depending on any other aspects it will form with your natal planets.
A profound, slow, inevitable, eventually disruptive, spiritual transformation is the most favorable interpretation.
This transformation is probably starting now its slow process.