Cat keeps vomitting her food right back up?

We have 2 cats. A male and a female. (The female's spayed. If that helps with anything.) But anyways, my girl cat lately has been vomitting her food back up after eating it instantly. We figured this came from the fact that she tries to hurry up and gobble up all her food because the male cat will come and push her out the way to eat her food. (They have separate bowls. But he feels the need to eat hers.) We're gonna take her to the vet just in case, but we need help to figure out how to help this problem and to keep the boy from eating her food.