Determined, he got through to the paper (5)

I believe the answer is:
sheet
'paper' is the definition.
(sheet is a kind of paper)
'determined he got through to' is the wordplay.
I cannot quite see how this works, but
'he' is present in the answer.
'determined' could be 'set' (similar in meaning) and 'set' is found in the leftover letters.
This accounts for all the letters.
This explanation may well be incorrect...
'the' is the link.
Can you help me to learn more?
(Other definitions for sheet that I've seen before include "Piece of paper, linen, or water" , "Piece of paper or bedding" , "Page of postage stamps" , "leaf" , "Piece of paper; nautical rope" .)
