Nerdy American girl coming out holding The Times (5)
I believe the answer is:
dweeb
'nerdy american' is the definition.
I don't know anything about this answer so I cannot judge whether it can be defined by this definition.
'girl coming out holding the times' is the wordplay.
'girl coming out' becomes 'deb' (short for debutante).
'holding' is an insertion indicator.
'the times' becomes 'we' (the crossword setter and their colleagues).
'deb' placed around 'we' is 'DWEEB'.
Can you help me to learn more?
(Other definitions for dweeb that I've seen before include "Insignificant student" , "techie bore?" , "Boringly studious student" , "Antisocial guy" , "(US) idiot" .)