Thanks for the support, dontcare. Apparently you do care
(sorry, I couldn't help it).
Just an update
: I had asked two professors for extensions. I owe one of them a term paper worth about 20% (a big deal but not the end of the world). That was the extension I didn't get. I owe the other a number of papers, so that is a huge deal. This other professor of mine was much more lenient, and offered to give me a massive course extension (until the end of January), which I'll definitely take. That's pretty much the best outcome I could have anticipated.
As for the essay that I didn't get an extension for... I really don't know. It's probably best if I just "late drop" the course, to be honest, because at this point I'd have trouble even passing it. It wasn't an essential course - losing it won't matter much. A late drop would look better than a fail, frankly. If I dropped that one, and worked hard on my finals and remaining essays, I could get a half-decent term GPA... ...
My psychiatrist tells me it shouldn't be up to the professor to decide if they want to give me an extension. He suggested I talk to her superior to see what can be done.
Maybe I'm being stupid, but... Well, he said he'd write that I was "suffering symptoms of anxiety which prevented [me] from being able to complete [my] course work". It just sounds lame. It doesn't really communicate the seriousness of the problem. My profs are probably thinking I've been bedridden with meningitis or something, but no, it's just a case of anxiety...
Are they going to just accept it? Are they obligated to, in this case? How serious can a person imagine mere "anxiety" to be?