A poet had the honour to take her out (5)
I believe the answer is:
homer
'a poet' is the definition.
(Homer is an example)
'take her out' is the wordplay.
'take' becomes 'om' (I can't explain this - if you can you should give a lot more credence to this answer).
'out' indicates putting letters inside.
'om' going within 'her' is 'HOMER'.
'had the honour to' acts as a link.
This may not be correct. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for homer that I've seen before include "addition to the score?" , "Great Greek who was known to nod" , "successful run in America?" , "Type of pigeon" , "Great Greek who wrote The Iliad" .)