I am afraid I will get mis-cited or cited out of the context when teaching an online class. How can I protect myself against this?
To get misunderstood or to get cited incorrectly is a risk one always has to face when working in academia. We recommend talking about common expectations and rules at the beginning of each class. Clarifying the basic rules for discussions in academia can be helpful. Also, in an online context, creating a netiquette can help.
If you are aiming for more safety, we highly recommend to focus on asynchronous teaching. If you are distributing recorded lectures, you will minimize the risk to be misunderstood because of a spontaneous comment you make. If you produce your own videos, you can control the content in a way you could hardly to do so when teaching a class on campus.