gaze at, stare at, uninhibited, open eyes wide
睢 centers on an intense, wide-eyed gaze: staring openly without restraint, often with a sense of boldness or lack of inhibition.
睢 combines 目 (eye) with 隹, which likely contributes the sound. The exact historical development is uncertain, but the structure suggests a phono-semantic compound related to looking or staring.
The eye 目 on the left is fixed on a short-tailed bird 隹 on the right. Imagine staring so intently at the bird that your eyes are wide open and uninhibited.
For キ, picture a keyhole through which you gaze with wide eyes: key -> キ, and you stare through it at the bird.