I don’t get the relevance of that link, it talks about logical falacies like:

A: “All rodents are mammals, but a weasel isn’t a rodent, so it can’t be a mammal.”

I don’t see how that’s relevant, there is no way that can be seen as an ad hominem. The entire piece seems to be like that. And obviously ad hominem is not a logical fallacy of any kind.

From wikipedia which is way more concise, and actually talks about what an ad hominem is instead of what it is not:

en.wikipedia.org/wiki/Ad_hominem

Ad hominem (Latin for ‘to the person’), short for argumentum ad hominem, refers to several types of arguments that are fallacious. Often currently this term refers to a rhetorical strategy where the speaker attacks the character, motive, **or some other attribute of the person making an argument **

In this case me being emotional.