Some chili powder is spicier than others. If you're not familiar with the brand you are using, and you're sensitive to heat, reduce the amount to 1 tablespoon. You can always taste and add more after you add the tomatoes. Make sure that the chili is simmering very gently before walking away from the stove. If the heat is too high you'll risk burning the chili to the bottom of the pot. If you're using store-bought beef broth I would recommend that you add some Better Than Bouillion to boost the flavor.
I've made this multiple times, omitting wine. It's best to substitute ground hamburger with sliced beef. If you use ground beef, use a baster to remove excess fat before adding stock.