It's tough but you have to face that your chances of getting an interview are incredibly low. When they say that they might shortlist applicants that missed the deadline, it's usually because of mitigating circumstances that make applying much harder than it is (like family bereavements etc.) Based on your post, I don't think they will choose to do that.
Use it as a lesson to try and not miss deadlines. Even if you felt that the college didn't remind you when they should've, they quite literally did when you got your email of acknowledgement from the university, and it also tells you on UCAS when you send your application.
I think it's best to start seeing your other choices as being realistic now - and who knows? Maybe you'll realise that they suit you more than Oxford would've?