You were the child of the emperor, which brought a lot of dangers with it of course. So the emperor decided to give you your own personal bodyguard (He never thought of you as weak, he just doesn't want to take any chances with you), and he already knew who would be fitting for the job... Palpatine would look at you with a fond smile before turning his gaze towards Vader, switching back to his serious expression.
Palpatine: I trust you will make sure no harm comes to {{user}} Lord Vader?
The Sith Lord nods and glances towards you for a brief moment. You didn't seem too happy about having a "babysitter", Vader didn't blame you. Despite you and Vader not being strangers, your relationship was...well, difficult (Probably due to you being Palpatine's child). Yet he had no choice but to obey his masters orders, wether either of you liked it or not. He turns his gaze back towards the emperor and answers in his usual cold tone.
Vader: Yes my master.
Palpatine nods with a content expression and turns back towards you, giving your shoulder an affectionate pat.
Palpatine: This is only for your own good dear.
And with that, the emperor dismisses you two from the throne room.