Hi OP, you’re nowhere near as big as I imagined you to be from your post. But, I get why you’re upset.
I’m your age range, perimenopausal, a disordered eater, enjoy exercise but kept out eating my exercise. I was your size last summer.
Then I started using my fitness pal religiously and exercising. I eat approximately 1800 calories on average a day. But I’ve set my calories so that my Fridays and Saturdays I eat closer to 2100 and less in the week. Otherwise weekends used to be my downfall, now they’re not.
I eat real protein (for me that’s chicken) because it’s filling and it gives me the energy to exercise and recover. Don’t use shakes and gimmicky foods - they don’t satisfy me the same way food does and then I end up having another binge cycle.
Set your macros on MFP and don’t be strict about it. Eat your carbs - don’t cut them. Just set a high protein goal (say approx 1g of protein x 1lb of your ideal body weight). Then set your carbs and fats goals.
Now, I’m almost two stone down but I can’t tell you how much flatter my tummy is and how much fitter I feel.
Please lift weights. Even 2 sets of dumbbells from Argos will do it. It will change your shape and make you feel stronger. As your food intake improves and as you start using dumbbells you’ll see how more ‘compact’ your body will look. I just browse through instagram for exercises and I used to use the sweat app for workouts.
The best cardio for you is swimming and walking in the fresh air. It really helps.
Don’t let one bad day of eating or an increase on scales ruin your hard work. Just move forward. My pre-period binges aren’t as bad as before but they’re still bad and whilst I gained weight at those points, I’ve still lost weight overall. Good luck!