Struggling to lose weight after a history of disordered eating (content warning)

I agree with others, that there's a slippery slope here given your history, and that it would be a good idea to talk with your treatment team, even if that means getting back in touch with them after having disconnected.

Several things I think are true and relevant, beyond that:

• Someone at your current weight should not try to lose fast . . . in fact, should try to lose very, very slowly if at all. That would take a long time to show up on the scale, but be more health promoting.
• I wouldn't assume you won't lose weight on 1800-2000 calories, as a busy college student doing that much exercise, even if you're petite. Maybe, maybe not. Try it for two months or so, see what happens. (I'm only slightly taller and heavier than you are, at 5'5" and 132 pounds, and a very similar BMI, 22-point-something. I'm around 3 times your age, at 70. I'd lose weight - admittedly slowly - on 1800-2000 calories gross intake, and I'm sedentary outside of intentional exercise. I admit I'm mysteriously a good li'l ol' calorie burner, but only your own track record tells you if calorie calculator values or even fitness tracker estimates are accurate for you or not.)
• I endorse a PP's comment that eating mostly things like meat, fish, veggies, fruits and whole grains is likely to be more filling, though it's fine to include treats in moderate amounts. I'd add that timing of snacks/meals, IME, can make a big difference in both satiety and energy level, in the mix with workouts. There have been times when I did better replenishing carbs during/between workouts, or having some protein soon after (the latter for satiety, not because of illusions about muscle protein synthesis). Maybe try some experiments. (None of that will compensate for significantly under-eating for current needs, BTW.)
• As a PP said, working on body composition is probably more beneficial to appearance goals than losing bodyfat, at BMI 22-point-whatever. That's extra true since you're in an ideal age range to build muscle most effectively, and set yourself up better for lifelong thriving. (I wish I'd done that.)
• You say "I also struggle to do anymore exercise than I already do due to university and getting out of breath/tired very easily." That suggests to me that you've increased total exercise load too quickly for your current fitness level. I'd recommend backing exercise off, and re-adding gradually. I don't know what cardio you're doing with your strength training, but if it's high intensity right off the start . . . stop it. Build base fitness with lower intensity work first - exclusively lower intensity for a while if new to regular cardiovascular exercise. There's way too much nonsense in the influencer/blogosphere realm these days telling people to do HIIT all the time. That is not the best way to build fitness or a foundation for optimal health.

But mostly: Talk to your treatment team. For sure, don't overdo calorie deficit or total exercise load.

Best wishes!