I'm also short and I weigh too much for my height. I am active, though, and go to Zumba, Salsa, aqua aerobics, and I have about 900 calories a day.
I'd say that if you're having 1000 calories a day and aren't able to be active, you probably need to reduce your calories more.
You could perhaps try Slimming World (their diet lets you eat loads of food), or counting calories, being sure to read labels on foods and weighing loose stuff (cheese, meat, etc)
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