Is it an eating disorder?

For the past 5 or so months, I’ve been concerned about my sister, who is 17. I’m seeing things like constant refusal to eat because, she’s either “not hungry” or “just ate”. She’s constantly at the gym or exercising and she misses more than half of her periods, which apparently indicates your body isn’t getting enough protein or iron, I forget. Sometimes she spends a long time on the toilet and when I go in, it smells like vomit. I haven’t seen her figure change much which is why I’m confused. I’ve asked her (in a loving and concerned manner) but she continuously claims that I’m attacking her. Does this sound like

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