Looks more like damage to the word "trust". There is evident scraping of the letters which has obliviated the word. Also, evident wear on Lincoln. Don't be argumentative, have TRUST.
the coin has plenty of wear and appears to have environment damage. Not a strike through by any means.
TRUST looks like it had been scrapped and then worn. Below the U down towards his nose is a defective scrape in which you can see displaced metal on both sides of the scrape.