At the same time if what you say is true, no witness, no body, nothing can be proved against Rudolph. However Rudolph can charge Harry with battery and I guess even attempted murder, along with whatever he was going to charge both him and Murphy with at the beginning of Peace Talks.
Theoretically, he could go after Harry for the near-fatal beating. But will he really want to put Harry on the stand, where he might start talking about the question of motive and trying a temporary insanity defense? Rudy's better off just taking the beating and leaving Murphy officially considered just one of the thousands missing or dead in the attack on the city, where she doesn't attract attention. Even though nothing could be officially pinned on him without forensic evidence that it was a bullet from his service weapon, if other police believe it, it could do him reputational damage.
But he's now terrified of Harry, and almost guaranteed to step up looking for other ways to try to neutralize him. Probably leaning in to building the other case against him over the bank heist, and looking for opportunities to hire hit men to try to eliminate him. Being police, he has access to the file on Harry's shooting, so probably realizes that a sniper got really close to succeeding. Which means Harry had probably better get to work on how to make fully-body bulletproofing enchantments on his clothing, sooner rather than later.
Harry probably isn't cold-blooded enough to go there, but now that he's engaged to Lara, it would be real easy to name-drop Rudy as someone with a lot to feel guilt and emotional turmoil over in front of a Skavis at one of her social functions.