Draw alien creature with a beak (6)
I believe the answer is:
pullet
'creature with a beak' is the definition.
(term for a young hen)
'draw alien' is the wordplay.
'draw' becomes 'pull' (pulling is a kind of drawing**).
'alien' becomes 'et' (extra terrestrial).
'pull'+'et'='PULLET'
(Other definitions for pullet that I've seen before include "Young chicken" , "Chicken under one year old" , "No high-flyer" , "Domestic hen less than 1 year old" , "A young domestic hen less than one year old" .)