When logging into domain virtual desktops display error stating there is no trust relationship to domain (4259471)

The issue can be caused by a compter account password change . To prevent this, please modify the registry on VDI template or create a Group Policy object to disable the setting for machines in the OU, where the VDIs are deployed. 

Registry Method:
Set DisablePasswordChange to 1 to prevent the client computer from changing its computer account password. 

1. Start Registry Editor. To do so, click Start, click Run, type regedit in the Open box, and then click OK.
2. Locate and then click the following registry subkey:

HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Services\Netlogon\Parameters

3. In the right pane, click the "DisablePasswordChange" entry.
4. On the Edit menu, click Modify.
5. In the Value data box, type a value of 1, and then click OK.
6. Quit Registry Editor.

Related info:  How to disable automatic machine account password changes

OR:

Group Policy Setting:
Computer Configuration\windows Settings\Security settings\Local Policies\Security Options
Domain member: Disable machine account Password changes

Warning: If you disable machine account password changes, there are security risks because the security channel is used for pass-through authentication. If someone discovers a password, he or she can potentially perform pass-through authentication to the domain controller.