This post could pretty much have been written word for word by me (aside from the amazingly mature way you seem to be handling it; I am the master of head-in-sand syndrome.)
The way I see it is, barely passing the year is not great, ok its fine from a degree perspective, but, as you say missing so much learning from this year will only make next year harder. For me at least, I think knowing that I am so behind and struggling so hard to actually do
anywork, is only making me more stressed and feel that much worse about myself. If you did intermit, you would have 6 months to get better and prepare for next semester.
Of course you might get ill again in the future, but hopefully you could use this past year as a learning experience in terms of how to plan your work etc.. and what support the uni can give you to help. Hopefully with the right support straight from the beginning of term you could manage the course more successfully.
With your family, would telling them very honestly; I am having some terrible days atm, but I am getting the right help and working hard on getting better, be an option? Sorry, I am terrible at dealing with my family, don't really have any great advice here.
Just a few thoughts sorry if its a bit useless, my head is fuzzy today.
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Also, hi everyone! May have been stalking this thread for while now and only just got the courage to post