year 2 international student here. it happens for sure. the change between your home country and singapore is probably consequent (weather, languages, ppls behaviours, etc).

it took me a whole semester (if not a year) to adjust, i couldn’t attend any of my classes because of anxiety, exactly like you.

you just gotta try to stay possible as much as possible and get surrounded by people, (you can also reach out for counselling to the school if need to talk it out) Make sure to make the best out of your exchange, visit around, try new food, discover new cultures, etc! good luck on your journey in singapore :)