Having no time to wrap the presents for the poet (7)
I believe the answer is:
spenser
'poet' is the definition.
(16th-century poet Edmund Spenser)
I don't understand the rest of the clue.
Can you help me to learn more?
(Other definitions for spenser that I've seen before include "Old English poet" , "Edmund -, Eng. poet" , "The Faerie Queene author" , "He wrote" , "Edmund ---, Eliz. poet" .)