When my C# application closes it sometimes gets caught in the cleanup routine. Specifically, a background worker is not closing. This is basically how I am attempting to close
This code is guaranteed to deadlock when the BGW is still running. BGW cannot complete until its RunWorkerCompleted event finished running. RunWorkerCompleted cannot run until the UI thread goes idle and runs the message loop. But the UI thread isn't idle, it is stuck in the while loop.
If you want the BGW thread to complete cleanly, you have to keep your form alive. Check this thread to see how to do that.