I don't think it would be if SIU is going for what I think he is for her.
We know princesses are forbidden from romance right. Whatever her background is it seems to me like she's the elite of the elite and has a position that pressures her into a structured life. So if we have this buttoned down person who dreams of some whirlwind romance. Then Baam comes in and obliviously does the kind of stuff he always does.
The whole thing would take an almost fairy tale aspect too it.
I don't care much about romance on the Tower, but I think this description of her situation is very good.
She's a leader and has to set the tone for the whole empire and every princess... it means she would agree with hunting down Anak and never indulge herself to love.
But it doesn't mean she haven't in the past. I mean in the sense that she fell for someone but didn't accept/admit/recognize it (and probably killed the indvidual, since mostly princess overdo things).
In that sense Baam would be more like a savior than a love interest for her, like he saved Elaine from her family bindings, Baam could save Adori from her duty, her shackles and the empire. When she gets defeated, she could realize how pointless her dedication do Zahard and the empire was, how she have been fooled this whole time (In the sense that the porpuse of the princess is a lie and Zahard himself goes out here making forbidden babies).
But now I feel like to much fanfic for my own head