Hey,
my housemate repeated her first year as she was quite ill for a long period of time (don't want to go into details as it's not my place to say) but as far as i know she went through the university.
Obviously i don't know the whole story with you but it sounds like missing one deadline isn't really grounds for repeating a whole year... they might ask you to reset that particular piece over the summer or during your second year. As for being behind on other work, they may grant you an extension if you have mitigating circumstances or they will help you work through it and catch up.
Don't feel bad about it, things happen in our lives that we can't control but aslong as you are open with your lecturers and support staff then they will do their upmost to help you get back to where you feel more comfortable.
I hope the meeting went well :-)