Q: Why don't I have my beta trinket?
A: The beta trinket was given out to players that logged in between August 28th - 11th of September. For more information please relate to the following news article:
https://www.dirtybomb.com/news/august-28th-update-the-1-0-update/
I'm afraid that if you didn't log-in during this period, you'll be unable to receive the trinket.