She makes a couple of points to teacher (5)
I believe the answer is:
siren
'she' is the definition.
Both the definition and answer are singular nouns.
Perhaps there's an association between them I don't understand?
'makes a couple of points to teacher' is the wordplay.
'a couple of points' can mean two replacements for 'point'.
'makes' indicates an anagram.
'point' becomes 'n'.
'point' becomes 'e' (compass point).
'to' is a charade indicator (letters next to each other) (I've seen this in other clues).
'teacher' becomes 'sir' (way of addressing a male teacher).
'n'+'e'='ne'
'ne' with letters rearranged gives 'en'.
'en' put after 'sir' is 'SIREN'.
Can you help me to learn more?
(Other definitions for siren that I've seen before include "Bewitching singer" , "Temptress; warning signal" , "Device producing a loud wailing sound as a signal" , "Rinse (anag) - sea nymph" , "Seductress" .)