Revealing mistake: In the scene after the fire, when Kyle is playing with a candle, as he picks up the candle his belly button is visible. It has been established that Kyle has no belly button, therefore this is a mistake.
Revealing mistake: When they shine light through the Zyzzx ring, Kyle walks in front of it, but the map is still visible on the wall. Meaning that it's either added in editing or the light shines from another source.
Answer: He just "created" her.
Paul Brannon