Student or Learner
"I'm in the laundry room! The door wouldn't open!"
Why not The door doesn't open! ?
I don't see that form below.
Modal Use Positive Forms
1 = Present 2 = Past 3 = Future Negative Forms
1. If I were president, I would cut the cost of education.
2. If I had been president, I would have cut the cost of education.
3. If I were elected president next year, I would cut the cost of education.
2) Past of "will"
I said I would help you.
He told me he would be here before 8:00.
I said I wouldn't help you.
He told me he would not be here before 8:00.
3) Repetition in past
When I was a kid, I would always go to the beach.
When he was young, he would always do his homework.
When I was a kid, I wouldn't go into the water by myself.
When he got older, he would never do his homework.
My sentence was: "The door won't open!" This is the negation of "The door will open".
In other words, there is no reason why it should appear on that list.
Your "The door doesn't open! ?" is not on that list either.
Since we both believe that the original "The door wouldn't open" sounds wrong in this context (such as it is), and we've both recast the sentence to a form that doesn't use "would", I'm wondering why you think the answer should come from this list?
In my language, I would say:
The door does not open, The door is not opening, The door didn't open.That's probably why I don't get that usage of would in this sentence.
The car wouldn't start.
The printer wouldn't print my file.
This is common and normal.
But the usage in your original sentence is still strange - not because it's a door that won't/wouldn't, but because the person is more likely to say "won't".