Hi AccountingMBC,
You can only connect to searchable bank names and account types in the Bank Feeds section. Those you can't find are not supported for online banking.
Not seeing a connection to a trust account type from your financial institution doesn't necessarily mean an issue. Please note that the decision to provide feeds to QuickBooks is between Intuit and your financial institution. Therefore, including their trust account may still be in the process.
What I can suggest is to update your financial institution directory to ensure having the latest connections. You can refer to this article: Update the Financial Institutions Directory in QuickBooks Desktop. If you still can't find it, you may have to enter the transactions manually this time.
Let me know if you have other questions about banking.