Using distrust of a source to dismiss an argument is the foundation of conspiracy theories.
We have access to information, and our responsibility is to evaluate that information and determine its credibility based on the evidence presented.
If I read a scientific paper written by qualified experts, supported by objective data, I will give it credibility. If Fox News tells me drag queens are dangerous, I will dismiss that nonsense outright.
The source matters only insofar as it helps us evaluate the evidence. Dismissing an argument solely because of who presented it is not critical thinking. It is intellectual laziness, and your entire argument is ultimately useless.