Here is the enemy fire damage received by Rodney as described in R A Burt's British Battleships.
During the action Rodney received very little damage from return fire- three minor shrapnel holes in the side and another small hole which cut the searchlight control leads on the conning tower level. The high-angle director trainer telescope was distorted and put out of action.
All the rest was blast and shock damage from own main guns often firing at very low elevation.
Even Miller does not say direct hits. Photos of the splinter damage to Sheffield in In Ronald Bassett's HMS Sheffield show holes 6" long in plates from shrapnel from 15 " shell bursts.
Since we know from description that there were no direct hits we will not need to rely on speculation:
I find quite unconceivable that not a single 5.9" hit was scored,
Bismarck's fire was completely ineffectual.
All the best