I don't think anyone has pointed this out, but what she's doing right now is fine as an Empress. Having a few lovers here and there doesn't really affect her reputation, but enforces the image that she's the one in charge. Right now, she needs allies that she can trust, because everyone around her is Dowun's people. She's being watched all the time and everyone knows that the power behind the seat is Dowun and the Yang clan. She's more of a puppet if anything. So yes, while I do ship Baek Han and the princess, regardless of whether their feelings are mutual or not, this can be a very smart political move on her part if she can solidify his clan's support.
Also, I like how Dowun just dumps the tea without even drinking it- such a waste 😅
@vorfreude Exactly. He has always had this 'I get the last say in everything' attitude towards her. Not great for teamwork.
@Zephyr247 Yeah I agree. If he can't influence her actions anymore that could most definitely be a possibility.