Rinse the wild rice. Put the rice in a saucepan with 1¾ cups beef broth (or vegetable broth to make this vegan). Cover the saucepan with a lid.
Put the saucepan on the stove, over medium-high heat, until the broth begins to boil.
Turn the heat down to medium low, keeping the lid on the saucepan, and let the rice/broth mixture simmer for about 35 minutes. The rice is done cooking when the rice is tender and all the liquid has been absorbed.
Heat the butter (or margarine, or olive oil) in a skillet over medium heat. When the oil begins to sizzle just a bit, add the sliced mushrooms and chopped scallions.
Cook the mushrooms and scallions for about 10 to 15, stirring occasionally, until most of the moisture has been cooked out of the vegetables. Mushrooms should be deeply brown.
Stir the cooked rice, cooked vegetables and Worcestershire sauce together.