The things Chuck Norris inflicts fear in normally shouldn't be affected by fear because they aren't sentient. That's the whole point of the humor in the book; he's so intimidating, even things that aren't sentient fear him and refuse to hit him. It doesn't imply that everything in the verse is sentient (occam's razor nullifies that interpretation anyways), it implies the exact opposite by acknowledging that the things Chuck invokes fear in aren't sentient, because if they were sentient, the joke wouldn't work.
The only time Death is mentioned in the book is during the one fact where "Chuck Norris doesn't cheat death, he defeats it fair and square", which uses the same logic as other facts like "He doesn't get frost bite, he bites frost", or "when the going gets tough, the tough gets Chuck Norris". There's nothing implying Death is sentient. Even if Death were sentient, Death is commonly regarded as a sentient being in plenty of universes where things like fear, space, and time are not. Take South Park for example.
Even if we would ignore all of that and say that this was indeed just "fear of power", that "fear of power" is still enough to make time, space, and fear itself bend to his will, so either way it is Space, Time and Fear manipulation, all of which Chuck is going to have in this fight.
And even if the Spin Master were to get past that, he still needs to get past Chuck's ability to directly attack through time by roundhouse kicking him "yesterday", and the ability to rewrite facts with his own opinions.
