From the TSA guy’s point of view, anyone approaching the exit door is a potential problem. That door is sacred territory. They’re trained to assume the worst first, ask questions later, and yelling is unfortunately part of that posture. Once you’re outside the sterile area, they’re not there to help passengers anymore, only to stop people from going the wrong way.
That said, the way he handled it sounds unnecessarily aggressive. There’s a difference between firm and hostile, especially when it’s obvious you’re just stranded and asking for help. A simple “you need to call the airline, I can’t assist” without the theatrics would’ve gone a long way.
Unfortunately, TSA genuinely can’t call airline staff or leave their post, and they’re not allowed to facilitate reentry or coordinate retrievals. Even if it feels logical, it’s completely outside their role.
You didn’t do anything wrong by trying to ask. You just ran headfirst into the most rigid boundary in the airport system. Tiny airports are the worst for this because once staff disappear, there’s literally no safety net.
Sucks, but calling the airline was the only option once you exited. Hopefully the crew logged the item and it turns up.