I had the exact same issue as you, and i cried a lot.
And i tried to go home, (200 miles away made it a lot harder to do so) but I stayed and waited it out.
I can't drink because of a medical condition. 2 days straight drinking puts me in crippling pain, and a week straight would put me in hospital. I felt so left out in freshers and a few weeks after, because I couldn't join in the mad freshers vibe and I felt I'd make no friends.
This obviously wasn't the case, my flat mates settled down, some of us now live together even.
Freshers is known for the drinking and partying. You can't avoid it. But it does settle down and you will find people will be wanting cosy movie nights, dinners out or day trips in no time.
Just stick it out.
It feels like it will never end but it will.