Is she slowly beginning to trust me?

by Katey
(Butler, NJ, USA)

My cockatiel is not quite tamed yet, but when I talk to her, her eyes start to close like she's falling asleep. What does this mean? Also, she's getting better with her perch training since she's still very cautious about my hand, although she will come around after a few seconds and eat millet out of my hand. Do you have any better taming tips for me?