Final answer:
The secure option is to use Secure Shell (SSH) to securely connect to the Windows-based machine from a non-GUI Linux-based machine, then log onto the AWS Management console.
Step-by-step explanation:
The secure option that can be used to administer urgent mission-critical tasks on the AWS Management console when only non-graphical user interface (non-GUI), Linux-based machines are readily available is option C) Use Secure Shell (SSH) to securely connect to the Windows-based machine from one of the non-GUI Linux-based machines, then log onto the AWS Management console.
SSH is a secure network protocol that allows administrators to securely access remote computers. By using SSH, the cloud solutions architect can connect to their Windows-based machine, and then log into the AWS Management console.
For example, they can use the following command in the terminal of the Linux-based machine to establish an SSH connection: