
The heart wants what it can't have ╮( ̄▽ ̄)╭. Honestly I like how realistic the king is reacting to his duties and with Pauliana. There are already so many manga/manhwa where the higher status lead seemingly 'forgets' their role or just outright pushes it aside for love; but when in reality, as an adult, you would put great thought into your actions - especially is you're a king!
As for Paulina, she has nothing but admiration for him since he brought her out of her misery and into the happiness she experiences now (joy, fame, glory). Seeing your own position as just his royal guard from no noble background, you wouldn't ever consider yourself in a position to fall in love with the emperor.
Drop the manhwa if you will, but I'm staying for the ride!

I get it, I don't particularly like him all that much too. Nothing justifies sexual assault. But the thing is, I think people deserve to repent and atone for their mistakes. *Spoiler for Never Understand* After Yuri's intervention during the assault, you can see that Ayeon tried to atone for what he did by destroying the camera and warning those girls about spreading any rumours. Does he deserve a happy ending? I don't know. But, I feel that his apology is a good sign of healing and growth (▰˘◡˘▰) Now he knows how to cherish rather than destroy and that's good enough for me.

Haha me too, but I'll try my best to recall what I can with as little spoilers in case you want to relive it. The second arc starts at Ch61 and Ayeon appears in Ch70 (iirc).
*Incoming spoilers for Never Understand*
In the second arc, the story explores the hidden side of Yuri in which his past catches up with him and starts to affect both his emotional well-being and his relationships, particularly with Jaerim. This all begins with the reintroduction of Yuri's former friend Dong Gyun who is alleged to have caused the trauma (i.e. scene with the burning house). Jaerim who is placed in the middle of all this tries to befriend Dong Gyun and unravels the past in the process.
Parallel to this is Yuri's loss of control in his emotions and ability to hide from his past. This leads him to hurting Jaerim as the latter tries to understand and communicate, but with the former resisting any prying on the matter. The hurt Jaerim meanwhile befriends Ayeon, with both seeming to form a genuine bond over the course of this arc. It is later revealed that this may be a ploy by the true mastermind behind the events that caused the breakdown between Yuri and Dong Gyun, and possible repetition with Jaerim.
This is where it catches up with my initial comment regarding Ayeon, so I'll just leave it up till here. I hope my summary is sufficient to jog your memory just enough without spoiling more than I already have
( ̄∇ ̄")
My tender heart didn't expect this plot twist. Please let Anan's pure love triumph! ╥﹏╥