In the Star Wars universe, after Order 66, Obi-Wan Kenobi goes into hiding on the desert planet of Tatooine to protect the young Luke Skywalker and remain hidden from the Empire. Your mention of an icy planet and manipulation by an Inquisitor may not align with established canon events or character arcs.
In "Star Wars: Kenobi," a novel by John Jackson Miller, Obi-Wan is primarily focused on watching over Luke and dealing with his own trauma following the loss of the Jedi Order and the fall of Anakin Skywalker (Darth Vader). He is not manipulated by an Inquisitor in that story.
The Inquisitors were designed to hunt down the remaining Jedi, but Obi-Wan's story through "Star Wars: The Clone Wars," "Star Wars Rebels," and other media does not detail him hiding on an icy planet nor being manipulated in the way described.
If you're referring to a specific fan interpretation, alternate storyline, or a non-canon piece of media, please clarify so we can align on the details!