Kylah feels comforted by Mr. Graham's gesture, and certainly safer by his side. It is difficult to ignore the secret she is keeping from him at Mr. Rangin's order.
When they are greeted by Okmyx, she nods her head modestly and waits to be allowed to speak. The president does not appear to know their names--should she be the one to introduce Mr. Graham to him? The man seems to think she has no voice of her own.
But Kylah's main worry is that Mr. Graham will give his rank; a mere ensign might be looked on as not worthy of respect. Worse, it might be seen as disrespect on the part of Starfleet, to have sent a lower-ranked officer as its representative. Even though we did not know we would be meeting him, he could be insulted. We cannot expect rationality from these... these vulgar brutes, she thinks, revisiting the dark mental image of the blood streaming down that poor old man's face down in the lobby.
"If you please, Mr. President," she says with a slight dip, not quite a curtsey but still a gesture of humility. Her free hand gestures gracefully toward Mr. Graham. "May I present Booker Graham? He is our Team Commander, from Earth, and is a security expert on our starship. The Vulcan you speak of is Lieutenant T'Var, our ship's highly esteemed doctor."
She lets her hand fall back to her side. "And I am Kylah, sir, from Elas, a planet that just joined the Federation a few short months ago. I am only an Ensign, very fortunate indeed to have been selected--" Kylah glances up at Graham, as if he were the one to choose to bring his 'dame' on the mission, and then returns to Okmyx with a small smile. "--And to have the unexpected opportunity to meet the famous leader of Sigma Iotia II."
Belatedly she adds, "Oh! Forgive me, I did not explain... My own specialties are communications and protocol. It is my job to assist the Team Commander in whatever way is needed to facilitate mutual understanding." Her gaze focuses intently on the president while she tries both to flatter him and, more importantly, to glean some empathic sense of his sincerity.